Search a number
-
+
311142924 = 223311512503
BaseRepresentation
bin10010100010111…
…010101000001100
3210200110200212000
4102202322220030
51114123033144
650512512300
710465446141
oct2242725014
9720420760
10311142924
1114a6a5314
128824b690
134c5cc951
142d4743c8
151c4b0769
hex128baa0c

311142924 has 48 divisors (see below), whose sum is σ = 807690240. Its totient is φ = 103582800.

The previous prime is 311142889. The next prime is 311142989. The reversal of 311142924 is 429241113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123057 + ... + 125559.

It is an arithmetic number, because the mean of its divisors is an integer number (16826880).

Almost surely, 2311142924 is an apocalyptic number.

It is an amenable number.

311142924 is an abundant number, since it is smaller than the sum of its proper divisors (496547316).

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

311142924 is a wasteful number, since it uses less digits than its factorization.

311142924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667 (or 3659 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 311142924 is about 17639.2438613451. The cubic root of 311142924 is about 677.6206664973.

The spelling of 311142924 in words is "three hundred eleven million, one hundred forty-two thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1151 2302 2503 3453 4604 5006 6906 7509 10012 10359 13812 15018 20718 22527 30036 31077 41436 45054 62154 67581 90108 124308 135162 270324 2880953 5761906 8642859 11523812 17285718 25928577 34571436 51857154 77785731 103714308 155571462 311142924