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345551360 = 2957111753
BaseRepresentation
bin10100100110001…
…011001000000000
3220002012211100112
4110212023020000
51201430120420
654142210452
711364065240
oct2446131000
9802184315
10345551360
11168066940
1297883a28
135678937b
1433c6db20
152050a8c5
hex1498b200

345551360 has 160 divisors (see below), whose sum is σ = 1033540992. Its totient is φ = 107642880.

The previous prime is 345551357. The next prime is 345551441. The reversal of 345551360 is 63155543.

345551360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 196244 + ... + 197996.

Almost surely, 2345551360 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 345551360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516770496).

345551360 is an abundant number, since it is smaller than the sum of its proper divisors (687989632).

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

345551360 is a wasteful number, since it uses less digits than its factorization.

345551360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The square root of 345551360 is about 18589.0118080548. The cubic root of 345551360 is about 701.7313333527.

The spelling of 345551360 in words is "three hundred forty-five million, five hundred fifty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 256 280 308 320 352 385 440 448 512 560 616 640 704 770 880 896 1120 1232 1280 1408 1540 1753 1760 1792 2240 2464 2560 2816 3080 3506 3520 3584 4480 4928 5632 6160 7012 7040 8765 8960 9856 12271 12320 14024 14080 17530 17920 19283 19712 24542 24640 28048 28160 35060 38566 39424 49084 49280 56096 61355 70120 77132 96415 98168 98560 112192 122710 134981 140240 154264 192830 196336 197120 224384 245420 269962 280480 308528 385660 392672 448768 490840 539924 560960 617056 674905 771320 785344 897536 981680 1079848 1121920 1234112 1349810 1542640 1570688 1963360 2159696 2243840 2468224 2699620 3085280 3141376 3926720 4319392 4487680 4936448 5399240 6170560 6282752 7853440 8638784 9872896 10798480 12341120 15706880 17277568 21596960 24682240 31413760 34555136 43193920 49364480 69110272 86387840 172775680 345551360