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354170112 = 2831727127
BaseRepresentation
bin10101000111000…
…011010100000000
3220200102201001120
4111013003110000
51211131420422
655051032240
711530252632
oct2507032400
9820381046
10354170112
11171a1327a
129a73b680
13584b631a
1435074a52
152115e45c
hex151c3500

354170112 has 72 divisors (see below), whose sum is σ = 998093376. Its totient is φ = 111108096.

The previous prime is 354170111. The next prime is 354170147. The reversal of 354170112 is 211071453.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354170111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 508 + ... + 26619.

It is an arithmetic number, because the mean of its divisors is an integer number (13862408).

Almost surely, 2354170112 is an apocalyptic number.

354170112 is a gapful number since it is divisible by the number (32) 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 354170112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499046688).

354170112 is an abundant number, since it is smaller than the sum of its proper divisors (643923264).

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

354170112 is a wasteful number, since it uses less digits than its factorization.

354170112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27163 (or 27149 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 354170112 is about 18819.4078546590. The cubic root of 354170112 is about 707.5176899604.

The spelling of 354170112 in words is "three hundred fifty-four million, one hundred seventy thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4352 6528 13056 27127 54254 81381 108508 162762 217016 325524 434032 461159 651048 868064 922318 1302096 1383477 1736128 1844636 2604192 2766954 3472256 3689272 5208384 5533908 6944512 7378544 10416768 11067816 14757088 20833536 22135632 29514176 44271264 59028352 88542528 118056704 177085056 354170112