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342014432 = 25174314621
BaseRepresentation
bin10100011000101…
…011100111100000
3212211120010121012
4110120223213200
51200023430212
653534320052
711322034424
oct2430534740
9784503535
10342014432
11166070561
1296659028
1355b1b506
14335ccb84
152005c922
hex1462b9e0

342014432 has 48 divisors (see below), whose sum is σ = 729579312. Its totient is φ = 157194240.

The previous prime is 342014399. The next prime is 342014437. The reversal of 342014432 is 234410243.

It is a junction number, because it is equal to n+sod(n) for n = 342014398 and 342014407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342014437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16082 + ... + 30702.

It is an arithmetic number, because the mean of its divisors is an integer number (15199569).

Almost surely, 2342014432 is an apocalyptic number.

342014432 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 342014432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364789656).

342014432 is an abundant number, since it is smaller than the sum of its proper divisors (387564880).

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

342014432 is a wasteful number, since it uses less digits than its factorization.

342014432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14691 (or 14683 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 342014432 is about 18493.6322013822. The cubic root of 342014432 is about 699.3289023953.

Adding to 342014432 its reverse (234410243), we get a palindrome (576424675).

The spelling of 342014432 in words is "three hundred forty-two million, fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 43 68 86 136 172 272 344 544 688 731 1376 1462 2924 5848 11696 14621 23392 29242 58484 116968 233936 248557 467872 497114 628703 994228 1257406 1988456 2514812 3976912 5029624 7953824 10059248 10687951 20118496 21375902 42751804 85503608 171007216 342014432