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329009434 = 213192321259
BaseRepresentation
bin10011100111000…
…100100100011010
3211221002102002121
4103213010210122
51133211300214
652351451454
711103351115
oct2347044432
9757072077
10329009434
11159798726
1292226b8a
1353216c50
14319a557c
151dd3e424
hex139c491a

329009434 has 48 divisors (see below), whose sum is σ = 585295200. Its totient is φ = 137494368.

The previous prime is 329009431. The next prime is 329009441. The reversal of 329009434 is 434900923.

It is a super-2 number, since 2×3290094342 = 216494415322000712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 329009434.

It is not an unprimeable number, because it can be changed into a prime (329009431) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 260697 + ... + 261955.

It is an arithmetic number, because the mean of its divisors is an integer number (12193650).

Almost surely, 2329009434 is an apocalyptic number.

329009434 is a deficient number, since it is larger than the sum of its proper divisors (256285766).

329009434 is a wasteful number, since it uses less digits than its factorization.

329009434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 329009434 is about 18138.6172019810. The cubic root of 329009434 is about 690.3501926086.

The spelling of 329009434 in words is "three hundred twenty-nine million, nine thousand, four hundred thirty-four".

Divisors: 1 2 13 19 23 26 38 46 247 299 437 494 529 598 874 1058 1259 2518 5681 6877 10051 11362 13754 16367 20102 23921 28957 32734 47842 57914 130663 261326 310973 376441 550183 621946 666011 752882 1100366 1332022 7152379 8658143 12654209 14304758 17316286 25308418 164504717 329009434