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357143940 = 223251984133
BaseRepresentation
bin10101010010011…
…001010110000100
3220220000210101100
4111102121112010
51212412101230
655234500100
711564446656
oct2522312604
9826023340
10357143940
1117366458a
129b734630
1358cb7a9a
143560a6d6
152154a660
hex15499584

357143940 has 36 divisors (see below), whose sum is σ = 1083337164. Its totient is φ = 95238336.

The previous prime is 357143923. The next prime is 357143947. The reversal of 357143940 is 49341753.

357143940 is a `hidden beast` number, since 3 + 571 + 43 + 9 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 164711556 + 192432384 = 12834^2 + 13872^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 357143895 and 357143904.

It is not an unprimeable number, because it can be changed into a prime (357143947) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 991887 + ... + 992246.

It is an arithmetic number, because the mean of its divisors is an integer number (30092699).

Almost surely, 2357143940 is an apocalyptic number.

357143940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

357143940 is an abundant number, since it is smaller than the sum of its proper divisors (726193224).

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

357143940 is a wasteful number, since it uses less digits than its factorization.

357143940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984148 (or 1984143 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 357143940 is about 18898.2523001467. The cubic root of 357143940 is about 709.4924230441.

The spelling of 357143940 in words is "three hundred fifty-seven million, one hundred forty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1984133 3968266 5952399 7936532 9920665 11904798 17857197 19841330 23809596 29761995 35714394 39682660 59523990 71428788 89285985 119047980 178571970 357143940