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193081344 = 212319827
BaseRepresentation
bin10111000001000…
…11000000000000
3111110022112210220
423200203000000
5343412100334
631054223040
74533110241
oct1340430000
9443275726
10193081344
1199a97965
12547b4a80
1331004121
141b900cc8
1511e3e449
hexb823000

193081344 has 104 divisors (see below), whose sum is σ = 542571840. Its totient is φ = 60899328.

The previous prime is 193081319. The next prime is 193081351. The reversal of 193081344 is 443180391.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233059 + ... + 233885.

Almost surely, 2193081344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193081344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271285920).

193081344 is an abundant number, since it is smaller than the sum of its proper divisors (349490496).

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

193081344 is an equidigital number, since it uses as much as digits as its factorization.

193081344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 193081344 is about 13895.3713156576. The cubic root of 193081344 is about 577.9808345237.

The spelling of 193081344 in words is "one hundred ninety-three million, eighty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 827 912 1024 1216 1536 1654 1824 2048 2432 2481 3072 3308 3648 4096 4864 4962 6144 6616 7296 9728 9924 12288 13232 14592 15713 19456 19848 26464 29184 31426 38912 39696 47139 52928 58368 62852 77824 79392 94278 105856 116736 125704 158784 188556 211712 233472 251408 317568 377112 423424 502816 635136 754224 846848 1005632 1270272 1508448 1693696 2011264 2540544 3016896 3387392 4022528 5081088 6033792 8045056 10162176 12067584 16090112 24135168 32180224 48270336 64360448 96540672 193081344