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342531360 = 25325793011
BaseRepresentation
bin10100011010101…
…001110100100000
3212212112101200200
4110122221310200
51200142000420
653553345200
711326316463
oct2432516440
9785471620
10342531360
11166393976
1296868200
1355c6c8a2
14336c52da
1520110b90
hex146a9d20

342531360 has 144 divisors (see below), whose sum is σ = 1184077440. Its totient is φ = 90155520.

The previous prime is 342531359. The next prime is 342531361. The reversal of 342531360 is 63135243.

It is a happy number.

342531360 is a `hidden beast` number, since 342 + 5 + 313 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (342531359) and next prime (342531361).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (342531361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112255 + ... + 115265.

It is an arithmetic number, because the mean of its divisors is an integer number (8222760).

Almost surely, 2342531360 is an apocalyptic number.

342531360 is a gapful number since it is divisible by the number (30) 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 342531360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592038720).

342531360 is an abundant number, since it is smaller than the sum of its proper divisors (841546080).

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

342531360 is a wasteful number, since it uses less digits than its factorization.

342531360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 342531360 is about 18507.6027621083. The cubic root of 342531360 is about 699.6810519755.

The spelling of 342531360 in words is "three hundred forty-two million, five hundred thirty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 79 80 90 96 120 144 158 160 180 237 240 288 316 360 395 474 480 632 711 720 790 948 1185 1264 1422 1440 1580 1896 2370 2528 2844 3011 3160 3555 3792 4740 5688 6022 6320 7110 7584 9033 9480 11376 12044 12640 14220 15055 18066 18960 22752 24088 27099 28440 30110 36132 37920 45165 48176 54198 56880 60220 72264 90330 96352 108396 113760 120440 135495 144528 180660 216792 237869 240880 270990 289056 361320 433584 475738 481760 541980 713607 722640 867168 951476 1083960 1189345 1427214 1445280 1902952 2140821 2167920 2378690 2854428 3568035 3805904 4281642 4335840 4757380 5708856 7136070 7611808 8563284 9514760 10704105 11417712 14272140 17126568 19029520 21408210 22835424 28544280 34253136 38059040 42816420 57088560 68506272 85632840 114177120 171265680 342531360