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342729360 = 243351011571
BaseRepresentation
bin10100011011011…
…010001010010000
3212212220110022000
4110123122022100
51200214314420
654001514000
711331102651
oct2433321220
9785813260
10342729360
11166509706
1296942900
135600ba4c
1433737528
152014e690
hex146da290

342729360 has 160 divisors (see below), whose sum is σ = 1192959360. Its totient is φ = 90432000.

The previous prime is 342729349. The next prime is 342729377. The reversal of 342729360 is 63927243.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 217375 + ... + 218945.

It is an arithmetic number, because the mean of its divisors is an integer number (7455996).

Almost surely, 2342729360 is an apocalyptic number.

342729360 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 342729360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596479680).

342729360 is an abundant number, since it is smaller than the sum of its proper divisors (850230000).

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

342729360 is a wasteful number, since it uses less digits than its factorization.

342729360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 342729360 is about 18512.9511423760. The cubic root of 342729360 is about 699.8158427123.

The spelling of 342729360 in words is "three hundred forty-two million, seven hundred twenty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 101 108 120 135 144 180 202 216 240 270 303 360 404 432 505 540 606 720 808 909 1010 1080 1212 1515 1571 1616 1818 2020 2160 2424 2727 3030 3142 3636 4040 4545 4713 4848 5454 6060 6284 7272 7855 8080 9090 9426 10908 12120 12568 13635 14139 14544 15710 18180 18852 21816 23565 24240 25136 27270 28278 31420 36360 37704 42417 43632 47130 54540 56556 62840 70695 72720 75408 84834 94260 109080 113112 125680 141390 158671 169668 188520 212085 218160 226224 282780 317342 339336 377040 424170 476013 565560 634684 678672 793355 848340 952026 1131120 1269368 1428039 1586710 1696680 1904052 2380065 2538736 2856078 3173420 3393360 3808104 4284117 4760130 5712156 6346840 7140195 7616208 8568234 9520260 11424312 12693680 14280390 17136468 19040520 21420585 22848624 28560780 34272936 38081040 42841170 57121560 68545872 85682340 114243120 171364680 342729360