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374013216 = 25324727631
BaseRepresentation
bin10110010010101…
…111110100100000
3222001202211200100
4112102233310200
51231221410331
6101040222400
712161026353
oct2622576440
9861684610
10374013216
11182136735
12a530aa00
135c6431c5
143795c29a
1522c7dae6
hex164afd20

374013216 has 72 divisors (see below), whose sum is σ = 1086269184. Its totient is φ = 122014080.

The previous prime is 374013197. The next prime is 374013239. The reversal of 374013216 is 612310473.

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

It is a self number, because there is not a number n which added to its sum of digits gives 374013216.

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, 280 + ... + 27351.

It is an arithmetic number, because the mean of its divisors is an integer number (15087072).

Almost surely, 2374013216 is an apocalyptic number.

374013216 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 374013216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543134592).

374013216 is an abundant number, since it is smaller than the sum of its proper divisors (712255968).

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

374013216 is a wasteful number, since it uses less digits than its factorization.

374013216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27694 (or 27683 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 374013216 is about 19339.4212943407. The cubic root of 374013216 is about 720.4917011689.

Adding to 374013216 its reverse (612310473), we get a palindrome (986323689).

The spelling of 374013216 in words is "three hundred seventy-four million, thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 6768 13536 27631 55262 82893 110524 165786 221048 248679 331572 442096 497358 663144 884192 994716 1298657 1326288 1989432 2597314 2652576 3895971 3978864 5194628 7791942 7957728 10389256 11687913 15583884 20778512 23375826 31167768 41557024 46751652 62335536 93503304 124671072 187006608 374013216