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429034916 = 221723318849
BaseRepresentation
bin11001100100101…
…000110110100100
31002220022020021002
4121210220312210
51334313104131
6110323412432
713426510442
oct3144506644
91086266232
10429034916
112001a7312
12bb824118
136ab6921b
1440da1b92
15279eb6cb
hex19928da4

429034916 has 48 divisors (see below), whose sum is σ = 856396800. Its totient is φ = 186869760.

The previous prime is 429034909. The next prime is 429034927. The reversal of 429034916 is 619430924.

It is a self number, because there is not a number n which added to its sum of digits gives 429034916.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44060 + ... + 52908.

It is an arithmetic number, because the mean of its divisors is an integer number (17841600).

Almost surely, 2429034916 is an apocalyptic number.

429034916 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

429034916 is a deficient number, since it is larger than the sum of its proper divisors (427361884).

429034916 is a wasteful number, since it uses less digits than its factorization.

429034916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8924 (or 8922 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 429034916 is about 20713.1580402410. The cubic root of 429034916 is about 754.2191338907.

The spelling of 429034916 in words is "four hundred twenty-nine million, thirty-four thousand, nine hundred sixteen".

Divisors: 1 2 4 17 23 31 34 46 62 68 92 124 391 527 713 782 1054 1426 1564 2108 2852 8849 12121 17698 24242 35396 48484 150433 203527 274319 300866 407054 548638 601732 814108 1097276 3459959 4663423 6309337 6919918 9326846 12618674 13839836 18653692 25237348 107258729 214517458 429034916