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342372240 = 24325767931
BaseRepresentation
bin10100011010000…
…010111110010000
3212212020022102100
4110122002332100
51200121402430
653550120400
711325054540
oct2432027620
9785208370
10342372240
11166295371
12967b0100
1355c15332
1433683320
15200cd960
hex14682f90

342372240 has 120 divisors (see below), whose sum is σ = 1314076608. Its totient is φ = 78255360.

The previous prime is 342372203. The next prime is 342372257. The reversal of 342372240 is 42273243.

It is a tau number, because it is divible by the number of its divisors (120).

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, 28926 + ... + 39005.

Almost surely, 2342372240 is an apocalyptic number.

342372240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342372240 is an abundant number, since it is smaller than the sum of its proper divisors (971704368).

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

342372240 is a wasteful number, since it uses less digits than its factorization.

342372240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67957 (or 67948 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 342372240 is about 18503.3034888368. The cubic root of 342372240 is about 699.5726915876.

The spelling of 342372240 in words is "three hundred forty-two million, three hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 67931 135862 203793 271724 339655 407586 475517 543448 611379 679310 815172 951034 1018965 1086896 1222758 1358620 1426551 1630344 1902068 2037930 2377585 2445516 2717240 2853102 3056895 3260688 3804136 4075860 4279653 4755170 4891032 5434480 5706204 6113790 7132755 7608272 8151720 8559306 9510340 9782064 11412408 12227580 14265510 16303440 17118612 19020680 21398265 22824816 24455160 28531020 34237224 38041360 42796530 48910320 57062040 68474448 85593060 114124080 171186120 342372240