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3368443320 = 233451194513
BaseRepresentation
bin1100100011000110…
…0101110110111000
322200202022122120000
43020301211312320
523344310141240
61314125233000
7146321203314
oct31061456670
98622278500
103368443320
111479442360
127a0102760
13418b27438
1423d514b44
1514aac2430
hexc8c65db8

3368443320 has 160 divisors (see below), whose sum is σ = 12351089520. Its totient is φ = 816583680.

The previous prime is 3368443297. The next prime is 3368443327. The reversal of 3368443320 is 233448633.

3368443320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33684433202 = 22692820800105244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3368443327) 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, 11617 + ... + 82896.

Almost surely, 23368443320 is an apocalyptic number.

3368443320 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 3368443320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6175544760).

3368443320 is an abundant number, since it is smaller than the sum of its proper divisors (8982646200).

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

3368443320 is a wasteful number, since it uses less digits than its factorization.

3368443320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94547 (or 94534 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 3368443320 is about 58038.2918425413. The cubic root of 3368443320 is about 1499.0280102934.

The spelling of 3368443320 in words is "three billion, three hundred sixty-eight million, four hundred forty-three thousand, three hundred twenty".

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 94513 189026 283539 378052 472565 567078 756104 850617 945130 1039643 1134156 1417695 1701234 1890260 2079286 2268312 2551851 2835390 3118929 3402468 3780520 4158572 4253085 5103702 5198215 5670780 6237858 6804936 7655553 8317144 8506170 9356787 10207404 10396430 11341560 12475716 12759255 15311106 15594645 17012340 18713574 20414808 20792860 24951432 25518510 28070361 30622212 31189290 34024680 37427148 38277765 41585720 46783935 51037020 56140722 61244424 62378580 74854296 76555530 84211083 93567870 102074040 112281444 124757160 140351805 153111060 168422166 187135740 224562888 280703610 306222120 336844332 374271480 421055415 561407220 673688664 842110830 1122814440 1684221660 3368443320