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342972496 = 24197914281
BaseRepresentation
bin10100011100010…
…101100001010000
3212220100210211001
4110130111201100
51200300104441
654011031344
711333134546
oct2434254120
9786323731
10342972496
11166665349
1296a3b554
1356095609
143379bd96
152019b731
hex14715850

342972496 has 40 divisors (see below), whose sum is σ = 708387200. Its totient is φ = 160392960.

The previous prime is 342972479. The next prime is 342972547. The reversal of 342972496 is 694279243.

342972496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 16876 + ... + 31156.

It is an arithmetic number, because the mean of its divisors is an integer number (17709680).

Almost surely, 2342972496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342972496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354193600).

342972496 is an abundant number, since it is smaller than the sum of its proper divisors (365414704).

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

342972496 is a wasteful number, since it uses less digits than its factorization.

342972496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14387 (or 14381 counting only the distinct ones).

The product of its digits is 653184, while the sum is 46.

The square root of 342972496 is about 18519.5166243614. The cubic root of 342972496 is about 699.9812892958.

The spelling of 342972496 in words is "three hundred forty-two million, nine hundred seventy-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 19 38 76 79 152 158 304 316 632 1264 1501 3002 6004 12008 14281 24016 28562 57124 114248 228496 271339 542678 1085356 1128199 2170712 2256398 4341424 4512796 9025592 18051184 21435781 42871562 85743124 171486248 342972496