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354530016 = 25321319397
BaseRepresentation
bin10101001000011…
…011001011100000
3220201002222202100
4111020123023200
51211224430031
655102450400
711533312131
oct2510331340
9821088670
10354530016
11172139715
129a893a00
13585b1099
1435129c88
15211d0de6
hex1521b2e0

354530016 has 72 divisors (see below), whose sum is σ = 1015998984. Its totient is φ = 117262080.

The previous prime is 354530009. The next prime is 354530081. The reversal of 354530016 is 610035453.

354530016 is a `hidden beast` number, since 354 + 5 + 300 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33030 + ... + 42426.

It is an arithmetic number, because the mean of its divisors is an integer number (14111097).

Almost surely, 2354530016 is an apocalyptic number.

354530016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354530016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507999492).

354530016 is an abundant number, since it is smaller than the sum of its proper divisors (661468968).

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

354530016 is a wasteful number, since it uses less digits than its factorization.

354530016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9544 (or 9533 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 354530016 is about 18828.9674703633. The cubic root of 354530016 is about 707.7572662103.

Adding to 354530016 its reverse (610035453), we get a palindrome (964565469).

The spelling of 354530016 in words is "three hundred fifty-four million, five hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 131 144 262 288 393 524 786 1048 1179 1572 2096 2358 3144 4192 4716 6288 9397 9432 12576 18794 18864 28191 37588 37728 56382 75176 84573 112764 150352 169146 225528 300704 338292 451056 676584 902112 1231007 1353168 2462014 2706336 3693021 4924028 7386042 9848056 11079063 14772084 19696112 22158126 29544168 39392224 44316252 59088336 88632504 118176672 177265008 354530016