Search a number
-
+
342453312 = 2633198179
BaseRepresentation
bin10100011010010…
…110110001000000
3212212101102122000
4110122112301000
51200132001222
653551544000
711325543105
oct2432266100
9785342560
10342453312
11166340273
129682b000
1355c431c6
14336a4aac
15200e79ac
hex14696c40

342453312 has 56 divisors (see below), whose sum is σ = 1006754400. Its totient is φ = 114150528.

The previous prime is 342453277. The next prime is 342453317. The reversal of 342453312 is 213354243.

342453312 is a `hidden beast` number, since 342 + 4 + 5 + 3 + 312 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (342453317) by changing a digit.

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, 97362 + ... + 100817.

Almost surely, 2342453312 is an apocalyptic number.

342453312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

342453312 is an abundant number, since it is smaller than the sum of its proper divisors (664301088).

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

342453312 is a wasteful number, since it uses less digits than its factorization.

342453312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198200 (or 198184 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 342453312 is about 18505.4941031035. The cubic root of 342453312 is about 699.6279056447.

The spelling of 342453312 in words is "three hundred forty-two million, four hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 198179 396358 594537 792716 1189074 1585432 1783611 2378148 3170864 3567222 4756296 5350833 6341728 7134444 9512592 10701666 12683456 14268888 19025184 21403332 28537776 38050368 42806664 57075552 85613328 114151104 171226656 342453312