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213934344 = 233131394933
BaseRepresentation
bin11001100000001…
…10000100001000
3112220112222202020
430300012010020
5414231344334
633121204440
75205261201
oct1460060410
9486488666
10213934344
11aa840048
125b790720
1335425890
14205ac5a8
1513bace49
hexcc06108

213934344 has 64 divisors (see below), whose sum is σ = 580238400. Its totient is φ = 65339136.

The previous prime is 213934337. The next prime is 213934361. The reversal of 213934344 is 443439312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40902 + ... + 45834.

It is an arithmetic number, because the mean of its divisors is an integer number (9066225).

Almost surely, 2213934344 is an apocalyptic number.

213934344 is a gapful number since it is divisible by the number (24) 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 213934344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290119200).

213934344 is an abundant number, since it is smaller than the sum of its proper divisors (366304056).

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

213934344 is a wasteful number, since it uses less digits than its factorization.

213934344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5094 (or 5090 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 213934344 is about 14626.4945902974. The cubic root of 213934344 is about 598.0812259401.

The spelling of 213934344 in words is "two hundred thirteen million, nine hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 139 156 278 312 417 556 834 1112 1668 1807 3336 3614 4933 5421 7228 9866 10842 14456 14799 19732 21684 29598 39464 43368 59196 64129 118392 128258 192387 256516 384774 513032 685687 769548 1371374 1539096 2057061 2742748 4114122 5485496 8228244 8913931 16456488 17827862 26741793 35655724 53483586 71311448 106967172 213934344