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242704632 = 233192109257
BaseRepresentation
bin11100111011101…
…10000011111000
3121220200200011110
432131312003320
5444113022012
640030000320
76004645452
oct1635660370
9556620143
10242704632
11115000645
12693460a0
133b389c11
142433b2d2
151649273c
hexe7760f8

242704632 has 96 divisors (see below), whose sum is σ = 648766800. Its totient is φ = 75644928.

The previous prime is 242704601. The next prime is 242704681. The reversal of 242704632 is 236407242.

It is a self number, because there is not a number n which added to its sum of digits gives 242704632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 944248 + ... + 944504.

Almost surely, 2242704632 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 242704632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324383400).

242704632 is an abundant number, since it is smaller than the sum of its proper divisors (406062168).

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

242704632 is a wasteful number, since it uses less digits than its factorization.

242704632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 242704632 is about 15578.9804544457. The cubic root of 242704632 is about 623.7722089326.

The spelling of 242704632 in words is "two hundred forty-two million, seven hundred four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 109 114 152 218 228 257 327 361 436 456 514 654 722 771 872 1028 1083 1308 1444 1542 2056 2071 2166 2616 2888 3084 4142 4332 4883 6168 6213 8284 8664 9766 12426 14649 16568 19532 24852 28013 29298 39064 39349 49704 56026 58596 78698 84039 92777 112052 117192 118047 157396 168078 185554 224104 236094 278331 314792 336156 371108 472188 532247 556662 672312 742216 944376 1064494 1113324 1596741 2128988 2226648 3193482 4257976 6386964 10112693 12773928 20225386 30338079 40450772 60676158 80901544 121352316 242704632