Search a number
-
+
350248968 = 23332370501
BaseRepresentation
bin10100111000000…
…110000000001000
3220102001111021000
4110320012000020
51204130431333
654431015000
711452032006
oct2470060010
9812044230
10350248968
1116a785263
129936a460
1357742614
1434733a76
1520b37713
hex14e06008

350248968 has 64 divisors (see below), whose sum is σ = 1015228800. Its totient is φ = 111672000.

The previous prime is 350248967. The next prime is 350248981. The reversal of 350248968 is 869842053.

350248968 is a `hidden beast` number, since 3 + 502 + 4 + 89 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (350248967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30283 + ... + 40218.

It is an arithmetic number, because the mean of its divisors is an integer number (15862950).

Almost surely, 2350248968 is an apocalyptic number.

It is an amenable number.

350248968 is an abundant number, since it is smaller than the sum of its proper divisors (664979832).

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

350248968 is a wasteful number, since it uses less digits than its factorization.

350248968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70539 (or 70529 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 350248968 is about 18714.9397006776. The cubic root of 350248968 is about 704.8969337788.

The spelling of 350248968 in words is "three hundred fifty million, two hundred forty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 70501 141002 211503 282004 423006 564008 634509 846012 1269018 1621523 1692024 1903527 2538036 3243046 3807054 4864569 5076072 6486092 7614108 9729138 12972184 14593707 15228216 19458276 29187414 38916552 43781121 58374828 87562242 116749656 175124484 350248968