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342382608 = 243237179359
BaseRepresentation
bin10100011010000…
…101100000010000
3212212020211122100
4110122011200100
51200122220413
653550240400
711325130011
oct2432054020
9785224570
10342382608
111662a2137
12967b6100
1355c19c79
1433687008
15200d1a73
hex14685810

342382608 has 120 divisors (see below), whose sum is σ = 992347200. Its totient is φ = 110115072.

The previous prime is 342382541. The next prime is 342382619. The reversal of 342382608 is 806283243.

342382608 is a `hidden beast` number, since 3 + 42 + 3 + 8 + 2 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 953533 + ... + 953891.

It is an arithmetic number, because the mean of its divisors is an integer number (8269560).

Almost surely, 2342382608 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 342382608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496173600).

342382608 is an abundant number, since it is smaller than the sum of its proper divisors (649964592).

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

342382608 is a wasteful number, since it uses less digits than its factorization.

342382608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 342382608 is about 18503.5836529036. The cubic root of 342382608 is about 699.5797531964.

The spelling of 342382608 in words is "three hundred forty-two million, three hundred eighty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 179 222 296 333 358 359 444 537 592 666 716 718 888 1074 1077 1332 1432 1436 1611 1776 2148 2154 2664 2864 2872 3222 3231 4296 4308 5328 5744 6444 6462 6623 8592 8616 12888 12924 13246 13283 17232 19869 25776 25848 26492 26566 39738 39849 51696 52984 53132 59607 64261 79476 79698 105968 106264 119214 119547 128522 158952 159396 192783 212528 238428 239094 257044 317904 318792 385566 476856 478188 514088 578349 637584 771132 953712 956376 1028176 1156698 1542264 1912752 2313396 2377657 3084528 4626792 4755314 7132971 9253584 9510628 14265942 19021256 21398913 28531884 38042512 42797826 57063768 85595652 114127536 171191304 342382608