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342528972 = 2232310312049
BaseRepresentation
bin10100011010101…
…001001111001100
3212212112021102020
4110122221033030
51200141411342
653553330140
711326306512
oct2432511714
9785467366
10342528972
111663920a5
1296866950
1355c6b786
14336c44b2
15201100ec
hex146a93cc

342528972 has 48 divisors (see below), whose sum is σ = 842150400. Its totient is φ = 108142848.

The previous prime is 342528959. The next prime is 342529021. The reversal of 342528972 is 279825243.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22404 + ... + 34452.

It is an arithmetic number, because the mean of its divisors is an integer number (17544800).

Almost surely, 2342528972 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 342528972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421075200).

342528972 is an abundant number, since it is smaller than the sum of its proper divisors (499621428).

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

342528972 is a wasteful number, since it uses less digits than its factorization.

342528972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12182 (or 12180 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 342528972 is about 18507.5382479680. The cubic root of 342528972 is about 699.6794260005.

The spelling of 342528972 in words is "three hundred forty-two million, five hundred twenty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 103 138 206 276 309 412 618 1236 2369 4738 7107 9476 12049 14214 24098 28428 36147 48196 72294 144588 277127 554254 831381 1108508 1241047 1662762 2482094 3325524 3723141 4964188 7446282 14892564 28544081 57088162 85632243 114176324 171264486 342528972