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3816010368 = 273213923831
BaseRepresentation
bin1110001101110011…
…1011001010000000
3100211221111102010100
43203130323022000
530303344312433
61430354202400
7163364360442
oct34334731200
910757442110
103816010368
111689047085
128a5b83400
1348a781901
14282b3c492
1517502eb13
hexe373b280

3816010368 has 96 divisors (see below), whose sum is σ = 11060431200. Its totient is φ = 1262799360.

The previous prime is 3816010337. The next prime is 3816010399. The reversal of 3816010368 is 8630106183.

It is an interprime number because it is at equal distance from previous prime (3816010337) and next prime (3816010399).

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 148213 + ... + 172043.

It is an arithmetic number, because the mean of its divisors is an integer number (115212825).

Almost surely, 23816010368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3816010368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5530215600).

3816010368 is an abundant number, since it is smaller than the sum of its proper divisors (7244420832).

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

3816010368 is a wasteful number, since it uses less digits than its factorization.

3816010368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23990 (or 23975 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3816010368 is about 61773.8647649635. The cubic root of 3816010368 is about 1562.6792616772.

The spelling of 3816010368 in words is "three billion, eight hundred sixteen million, ten thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 192 278 288 384 417 556 576 834 1112 1152 1251 1668 2224 2502 3336 4448 5004 6672 8896 10008 13344 17792 20016 23831 26688 40032 47662 53376 71493 80064 95324 142986 160128 190648 214479 285972 381296 428958 571944 762592 857916 1143888 1525184 1715832 2287776 3050368 3312509 3431664 4575552 6625018 6863328 9151104 9937527 13250036 13726656 19875054 26500072 27453312 29812581 39750108 53000144 59625162 79500216 106000288 119250324 159000432 212000576 238500648 318000864 424001152 477001296 636001728 954002592 1272003456 1908005184 3816010368