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354102112 = 257131723311
BaseRepresentation
bin10101000110110…
…010101101100000
3220200022020210001
4111012302231200
51211122231422
655045345344
711526550450
oct2506625540
9820266701
10354102112
11171977181
129a708254
13584913a0
1435057d60
1521149227
hex151b2b60

354102112 has 192 divisors, whose sum is σ = 951035904. Its totient is φ = 125706240.

The previous prime is 354102103. The next prime is 354102113. The reversal of 354102112 is 211201453.

It is a self number, because there is not a number n which added to its sum of digits gives 354102112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354102113) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1138437 + ... + 1138747.

It is an arithmetic number, because the mean of its divisors is an integer number (4953312).

Almost surely, 2354102112 is an apocalyptic number.

354102112 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 354102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475517952).

354102112 is an abundant number, since it is smaller than the sum of its proper divisors (596933792).

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

354102112 is a wasteful number, since it uses less digits than its factorization.

354102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 354102112 is about 18817.6011223535. The cubic root of 354102112 is about 707.4724063705.

Adding to 354102112 its reverse (211201453), we get a palindrome (565303565).

The spelling of 354102112 in words is "three hundred fifty-four million, one hundred two thousand, one hundred twelve".