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342023232 = 2637922549
BaseRepresentation
bin10100011000101…
…101110001000000
3212211120120200010
4110120231301000
51200024220412
653534424520
711322102165
oct2430556100
9784516603
10342023232
11166077131
1296662140
1355b22515
14335d206c
152006033c
hex1462dc40

342023232 has 56 divisors (see below), whose sum is σ = 916432000. Its totient is φ = 112559616.

The previous prime is 342023219. The next prime is 342023239. The reversal of 342023232 is 232320243.

342023232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 342023199 and 342023208.

It is not an unprimeable number, because it can be changed into a prime (342023239) 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, 3894 + ... + 26442.

Almost surely, 2342023232 is an apocalyptic number.

342023232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458216000).

342023232 is an abundant number, since it is smaller than the sum of its proper divisors (574408768).

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

342023232 is a wasteful number, since it uses less digits than its factorization.

342023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22643 (or 22633 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 342023232 is about 18493.8701195829. The cubic root of 342023232 is about 699.3349002334.

Adding to 342023232 its reverse (232320243), we get a palindrome (574343475).

The spelling of 342023232 in words is "three hundred forty-two million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 948 1264 1896 2528 3792 5056 7584 15168 22549 45098 67647 90196 135294 180392 270588 360784 541176 721568 1082352 1443136 1781371 2164704 3562742 4329408 5344113 7125484 10688226 14250968 21376452 28501936 42752904 57003872 85505808 114007744 171011616 342023232