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329094675 = 325271316073
BaseRepresentation
bin10011100111011…
…001011000010011
3211221020202000200
4103213121120103
51133222012200
652353350243
711104154460
oct2347313023
9757222020
10329094675
11159846778
1292268383
13532469a0
14319c8667
151dd59800
hex139d9613

329094675 has 72 divisors (see below), whose sum is σ = 725516064. Its totient is φ = 138862080.

The previous prime is 329094643. The next prime is 329094679. The reversal of 329094675 is 576490923.

It is a happy number.

It is not a de Polignac number, because 329094675 - 25 = 329094643 is a prime.

It is a super-2 number, since 2×3290946752 = 216606610226711250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 329094675.

It is not an unprimeable number, because it can be changed into a prime (329094679) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12439 + ... + 28511.

It is an arithmetic number, because the mean of its divisors is an integer number (10076612).

Almost surely, 2329094675 is an apocalyptic number.

329094675 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

329094675 is an abundant number, since it is smaller than the sum of its proper divisors (396421389).

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

329094675 is a wasteful number, since it uses less digits than its factorization.

329094675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16109 (or 16101 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 329094675 is about 18140.9667603466. The cubic root of 329094675 is about 690.4098069676.

The spelling of 329094675 in words is "three hundred twenty-nine million, ninety-four thousand, six hundred seventy-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 63 65 75 91 105 117 175 195 225 273 315 325 455 525 585 819 975 1365 1575 2275 2925 4095 6825 16073 20475 48219 80365 112511 144657 208949 241095 337533 401825 562555 626847 723285 1012599 1044745 1205475 1462643 1687665 1880541 2812775 3134235 3616425 4387929 5062995 5223725 7313215 8438325 9402705 13163787 15671175 21939645 25314975 36566075 47013525 65818935 109698225 329094675