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354114432 = 2732743913
BaseRepresentation
bin10101000110110…
…101101110000000
3220200022212200100
4111012311232000
51211123130212
655045522400
711526631410
oct2506655600
9820285610
10354114432
11171985461
129a713400
1358496b89
143505c640
152114cbdc
hex151b5b80

354114432 has 96 divisors (see below), whose sum is σ = 1164599280. Its totient is φ = 101173248.

The previous prime is 354114427. The next prime is 354114469. The reversal of 354114432 is 234411453.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 354114396 and 354114405.

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 11 ways as a sum of consecutive naturals, for example, 13893 + ... + 30020.

Almost surely, 2354114432 is an apocalyptic number.

354114432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

354114432 is an abundant number, since it is smaller than the sum of its proper divisors (810484848).

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

354114432 is a wasteful number, since it uses less digits than its factorization.

354114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43940 (or 43925 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 354114432 is about 18817.9284726029. The cubic root of 354114432 is about 707.4806111215.

Adding to 354114432 its reverse (234411453), we get a palindrome (588525885).

The spelling of 354114432 in words is "three hundred fifty-four million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 43913 87826 131739 175652 263478 307391 351304 395217 526956 614782 702608 790434 922173 1053912 1229564 1405216 1580868 1844346 2107824 2459128 2766519 2810432 3161736 3688692 4215648 4918256 5533038 5620864 6323472 7377384 8431296 9836512 11066076 12646944 14754768 16862592 19673024 22132152 25293888 29509536 39346048 44264304 50587776 59019072 88528608 118038144 177057216 354114432