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3361956840 = 233451194331
BaseRepresentation
bin1100100001100011…
…0110001111101000
322200022010002210000
43020120312033220
523341130104330
61313334223000
7146212106304
oct31030661750
98608102700
103361956840
111475811a30
12799ab4a60
13417695b98
1423c706d04
1514a240560
hexc86363e8

3361956840 has 160 divisors (see below), whose sum is σ = 12327305760. Its totient is φ = 815011200.

The previous prime is 3361956833. The next prime is 3361956841. The reversal of 3361956840 is 486591633.

3361956840 is a `hidden beast` number, since 3 + 36 + 19 + 568 + 40 = 666.

It is a super-2 number, since 2×33619568402 = 22605507588045571200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3361956841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11526 + ... + 82805.

It is an arithmetic number, because the mean of its divisors is an integer number (77045661).

Almost surely, 23361956840 is an apocalyptic number.

3361956840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3361956840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6163652880).

3361956840 is an abundant number, since it is smaller than the sum of its proper divisors (8965348920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3361956840 is a wasteful number, since it uses less digits than its factorization.

3361956840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94365 (or 94352 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3361956840 is about 57982.3838764844. The cubic root of 3361956840 is about 1498.0651854013.

The spelling of 3361956840 in words is "three billion, three hundred sixty-one million, nine hundred fifty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1485 1620 1782 1980 2376 2970 3240 3564 3960 4455 5940 7128 8910 11880 17820 35640 94331 188662 282993 377324 471655 565986 754648 848979 943310 1037641 1131972 1414965 1697958 1886620 2075282 2263944 2546937 2829930 3112923 3395916 3773240 4150564 4244895 5093874 5188205 5659860 6225846 6791832 7640811 8301128 8489790 9338769 10187748 10376410 11319720 12451692 12734685 15281622 15564615 16979580 18677538 20375496 20752820 24903384 25469370 28016307 30563244 31129230 33959160 37355076 38204055 41505640 46693845 50938740 56032614 61126488 62258460 74710152 76408110 84048921 93387690 101877480 112065228 124516920 140081535 152816220 168097842 186775380 224130456 280163070 305632440 336195684 373550760 420244605 560326140 672391368 840489210 1120652280 1680978420 3361956840