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3412786680 = 2332539723879
BaseRepresentation
bin1100101101101010…
…1111110111111000
322210211202112012200
43023122233313320
523442133133210
61322351510200
7150400131252
oct31332576770
98724675180
103412786680
1114a147a166
127b2b28360
13425081c04
14245378cd2
1514e9310c0
hexcb6afdf8

3412786680 has 96 divisors (see below), whose sum is σ = 11119960800. Its totient is φ = 907746048.

The previous prime is 3412786673. The next prime is 3412786687. The reversal of 3412786680 is 866872143.

It is an interprime number because it is at equal distance from previous prime (3412786673) and next prime (3412786687).

It is a super-2 number, since 2×34127866802 = 23294225846370844800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412786687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130981 + ... + 154859.

It is an arithmetic number, because the mean of its divisors is an integer number (115832925).

Almost surely, 23412786680 is an apocalyptic number.

3412786680 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 3412786680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559980400).

3412786680 is an abundant number, since it is smaller than the sum of its proper divisors (7707174120).

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

3412786680 is a wasteful number, since it uses less digits than its factorization.

3412786680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24293 (or 24286 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3412786680 is about 58419.0609304874. The cubic root of 3412786680 is about 1505.5772637180.

The spelling of 3412786680 in words is "three billion, four hundred twelve million, seven hundred eighty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 397 794 1191 1588 1985 2382 3176 3573 3970 4764 5955 7146 7940 9528 11910 14292 15880 17865 23820 23879 28584 35730 47640 47758 71460 71637 95516 119395 142920 143274 191032 214911 238790 286548 358185 429822 477580 573096 716370 859644 955160 1074555 1432740 1719288 2149110 2865480 4298220 8596440 9479963 18959926 28439889 37919852 47399815 56879778 75839704 85319667 94799630 113759556 142199445 170639334 189599260 227519112 284398890 341278668 379198520 426598335 568797780 682557336 853196670 1137595560 1706393340 3412786680