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354442112 = 2717198573
BaseRepresentation
bin10101001000000…
…101101110000000
3220200221112011122
4111020011232000
51211214121422
655100531412
711532464633
oct2510055600
9820845148
10354442112
11172089672
129a850b68
135858007b
1435105c1a
15211b4d42
hex15205b80

354442112 has 64 divisors (see below), whose sum is σ = 787093200. Its totient is φ = 157999104.

The previous prime is 354442103. The next prime is 354442133. The reversal of 354442112 is 211244453.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37058 + ... + 45630.

Almost surely, 2354442112 is an apocalyptic number.

354442112 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 354442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393546600).

354442112 is an abundant number, since it is smaller than the sum of its proper divisors (432651088).

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

354442112 is a wasteful number, since it uses less digits than its factorization.

354442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8623 (or 8611 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 354442112 is about 18826.6330500172. The cubic root of 354442112 is about 707.6987663799.

Adding to 354442112 its reverse (211244453), we get a palindrome (565686565).

The spelling of 354442112 in words is "three hundred fifty-four million, four hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 272 304 323 544 608 646 1088 1216 1292 2176 2432 2584 5168 8573 10336 17146 20672 34292 41344 68584 137168 145741 162887 274336 291482 325774 548672 582964 651548 1097344 1165928 1303096 2331856 2606192 2769079 4663712 5212384 5538158 9327424 10424768 11076316 18654848 20849536 22152632 44305264 88610528 177221056 354442112