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429334272 = 2832186343
BaseRepresentation
bin11001100101110…
…001111100000000
31002220212102220100
4121211301330000
51334402144042
6110334042400
713432165263
oct3145617400
91086772810
10429334272
11200391214
12bb949400
136ac42563
144103ccda
1527a5a24c
hex19971f00

429334272 has 54 divisors (see below), whose sum is σ = 1237883192. Its totient is φ = 143110656.

The previous prime is 429334219. The next prime is 429334289. The reversal of 429334272 is 272433924.

It is a happy number.

It is a super-2 number, since 2×4293342722 = 368655834227539968, which contains 22 as substring.

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

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 90868 + ... + 95475.

Almost surely, 2429334272 is an apocalyptic number.

It is an amenable number.

429334272 is an abundant number, since it is smaller than the sum of its proper divisors (808548920).

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

429334272 is a wasteful number, since it uses less digits than its factorization.

429334272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186365 (or 186348 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 429334272 is about 20720.3830080431. The cubic root of 429334272 is about 754.3945100841.

The spelling of 429334272 in words is "four hundred twenty-nine million, three hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 186343 372686 559029 745372 1118058 1490744 1677087 2236116 2981488 3354174 4472232 5962976 6708348 8944464 11925952 13416696 17888928 23851904 26833392 35777856 47703808 53666784 71555712 107333568 143111424 214667136 429334272