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253254344 = 23721937919
BaseRepresentation
bin11110001100001…
…01101011001000
3122122112122122112
433012011223020
51004313114334
641044041452
76163424600
oct1706055310
9578478575
10253254344
1111aa56812
1270993288
1340611a55
14258c5c00
15173784ce
hexf185ac8

253254344 has 96 divisors (see below), whose sum is σ = 597816000. Its totient is φ = 99937152.

The previous prime is 253254343. The next prime is 253254347. The reversal of 253254344 is 443452352.

It is a self number, because there is not a number n which added to its sum of digits gives 253254344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253254343) 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 23 ways as a sum of consecutive naturals, for example, 275117 + ... + 276035.

It is an arithmetic number, because the mean of its divisors is an integer number (6227250).

Almost surely, 2253254344 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 253254344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298908000).

253254344 is an abundant number, since it is smaller than the sum of its proper divisors (344561656).

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

253254344 is a wasteful number, since it uses less digits than its factorization.

253254344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 984 counting only the distinct ones).

The product of its digits is 57600, while the sum is 32.

The square root of 253254344 is about 15913.9669473076. The cubic root of 253254344 is about 632.6822267572.

The spelling of 253254344 in words is "two hundred fifty-three million, two hundred fifty-four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 37 38 49 56 74 76 98 133 148 152 196 259 266 296 392 518 532 703 919 931 1036 1064 1406 1813 1838 1862 2072 2812 3626 3676 3724 4921 5624 6433 7252 7352 7448 9842 12866 14504 17461 19684 25732 34003 34447 34922 39368 45031 51464 68006 68894 69844 90062 122227 136012 137788 139688 180124 238021 244454 272024 275576 360248 476042 488908 646057 855589 952084 977816 1292114 1666147 1711178 1904168 2584228 3332294 3422356 4522399 5168456 6664588 6844712 9044798 13329176 18089596 31656793 36179192 63313586 126627172 253254344