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357148968 = 2331123131449
BaseRepresentation
bin10101010010011…
…010100100101000
3220220001001021120
4111102122210220
51212412231333
655234535240
711564500431
oct2522324450
9826031246
10357148968
11173668340
129b737520
1358cba167
143560c488
152154bdb3
hex1549a928

357148968 has 128 divisors (see below), whose sum is σ = 1026432000. Its totient is φ = 102502400.

The previous prime is 357148943. The next prime is 357148969. The reversal of 357148968 is 869841753.

It is a self number, because there is not a number n which added to its sum of digits gives 357148968.

It is not an unprimeable number, because it can be changed into a prime (357148969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 795208 + ... + 795656.

It is an arithmetic number, because the mean of its divisors is an integer number (8019000).

Almost surely, 2357148968 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 357148968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513216000).

357148968 is an abundant number, since it is smaller than the sum of its proper divisors (669283032).

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

357148968 is a wasteful number, since it uses less digits than its factorization.

357148968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 619 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 357148968 is about 18898.3853278527. The cubic root of 357148968 is about 709.4957525244.

The spelling of 357148968 in words is "three hundred fifty-seven million, one hundred forty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 131 132 138 184 253 262 264 276 393 449 506 524 552 759 786 898 1012 1048 1347 1441 1518 1572 1796 2024 2694 2882 3013 3036 3144 3592 4323 4939 5388 5764 6026 6072 8646 9039 9878 10327 10776 11528 12052 14817 17292 18078 19756 20654 24104 29634 30981 33143 34584 36156 39512 41308 58819 59268 61962 66286 72312 82616 99429 113597 117638 118536 123924 132572 176457 198858 227194 235276 247848 265144 340791 352914 397716 454388 470552 647009 681582 705828 795432 908776 1294018 1352837 1363164 1411656 1941027 2588036 2705674 2726328 3882054 4058511 5176072 5411348 7764108 8117022 10822696 14881207 15528216 16234044 29762414 32468088 44643621 59524828 89287242 119049656 178574484 357148968