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3368915136 = 263212294759
BaseRepresentation
bin1100100011001101…
…1001000011000000
322200210012121202200
43020303121003000
523344420241021
61314143313200
7146325210006
oct31063310300
98623177680
103368915136
111479734894
127a02ab800
13418c61112
1423d5d8a76
1514ab67126
hexc8cd90c0

3368915136 has 84 divisors (see below), whose sum is σ = 9666274800. Its totient is φ = 1121822208.

The previous prime is 3368915113. The next prime is 3368915149. The reversal of 3368915136 is 6315198633.

It is a super-2 number, since 2×33689151362 = 22699178387139796992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3368915091 and 3368915100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 705525 + ... + 710283.

It is an arithmetic number, because the mean of its divisors is an integer number (115074700).

Almost surely, 23368915136 is an apocalyptic number.

3368915136 is a gapful number since it is divisible by the number (36) 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 3368915136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4833137400).

3368915136 is an abundant number, since it is smaller than the sum of its proper divisors (6297359664).

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

3368915136 is a wasteful number, since it uses less digits than its factorization.

3368915136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6006 (or 5993 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 3368915136 is about 58042.3563959976. The cubic root of 3368915136 is about 1499.0979963684.

The spelling of 3368915136 in words is "three billion, three hundred sixty-eight million, nine hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1229 2458 3687 4759 4916 7374 9518 9832 11061 14277 14748 19036 19664 22122 28554 29496 38072 39328 42831 44244 57108 58992 76144 78656 85662 88488 114216 117984 152288 171324 176976 228432 235968 304576 342648 353952 456864 685296 707904 913728 1370592 2741184 5848811 11697622 17546433 23395244 35092866 46790488 52639299 70185732 93580976 105278598 140371464 187161952 210557196 280742928 374323904 421114392 561485856 842228784 1122971712 1684457568 3368915136