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402940944 = 243271033881
BaseRepresentation
bin11000000001000…
…110010000010000
31001002012112001200
4120001012100100
51311123102234
6103552231200
712661640640
oct3001062020
91032175050
10402940944
111974a454a
12b2b3b500
13656310c3
143b72c520
1525594d99
hex18046410

402940944 has 120 divisors (see below), whose sum is σ = 1301619072. Its totient is φ = 113978880.

The previous prime is 402940903. The next prime is 402940963. The reversal of 402940944 is 449049204.

It is a happy number.

It is a super-2 number, since 2×4029409442 = 324722808703222272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 402940899 and 402940908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101884 + ... + 105764.

Almost surely, 2402940944 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 402940944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650809536).

402940944 is an abundant number, since it is smaller than the sum of its proper divisors (898678128).

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

402940944 is a wasteful number, since it uses less digits than its factorization.

402940944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 402940944 is about 20073.3889515448. The cubic root of 402940944 is about 738.6076472515.

The spelling of 402940944 in words is "four hundred two million, nine hundred forty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 103 112 126 144 168 206 252 309 336 412 504 618 721 824 927 1008 1236 1442 1648 1854 2163 2472 2884 3708 3881 4326 4944 5768 6489 7416 7762 8652 11536 11643 12978 14832 15524 17304 23286 25956 27167 31048 34608 34929 46572 51912 54334 62096 69858 81501 93144 103824 108668 139716 163002 186288 217336 244503 279432 326004 399743 434672 489006 558864 652008 799486 978012 1199229 1304016 1598972 1956024 2398458 2798201 3197944 3597687 3912048 4796916 5596402 6395888 7195374 8394603 9593832 11192804 14390748 16789206 19187664 22385608 25183809 28781496 33578412 44771216 50367618 57562992 67156824 100735236 134313648 201470472 402940944