Search a number
-
+
345772992 = 2633748673
BaseRepresentation
bin10100100111000…
…001001111000000
3220002122002101010
4110213001033000
51202004213432
654151040520
711366010345
oct2447011700
9802562333
10345772992
111681a8404
1297970140
1356836206
1433cca7cc
15205513cc
hex149c13c0

345772992 has 56 divisors (see below), whose sum is σ = 939602896. Its totient is φ = 112140288.

The previous prime is 345772969. The next prime is 345773009. The reversal of 345772992 is 299277543.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17233 + ... + 31440.

Almost surely, 2345772992 is an apocalyptic number.

345772992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

345772992 is an abundant number, since it is smaller than the sum of its proper divisors (593829904).

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

345772992 is a wasteful number, since it uses less digits than its factorization.

345772992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48725 (or 48715 counting only the distinct ones).

The product of its digits is 952560, while the sum is 48.

The square root of 345772992 is about 18594.9722236953. The cubic root of 345772992 is about 701.8813283056.

The spelling of 345772992 in words is "three hundred forty-five million, seven hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 48673 97346 146019 194692 292038 389384 584076 778768 1168152 1557536 1800901 2336304 3115072 3601802 4672608 5402703 7203604 9345216 10805406 14407208 21610812 28814416 43221624 57628832 86443248 115257664 172886496 345772992