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342071520 = 25357101807
BaseRepresentation
bin10100011000111…
…001100011100000
3212211200000220120
4110120321203200
51200032242040
653535440240
711322363030
oct2430714340
9784600816
10342071520
111660aa43a
1296686080
1355b3b4ab
14336058c0
152006e7d0
hex146398e0

342071520 has 96 divisors (see below), whose sum is σ = 1231469568. Its totient is φ = 78187008.

The previous prime is 342071507. The next prime is 342071531. The reversal of 342071520 is 25170243.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3420715202 = 234025849590220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 47544 + ... + 54263.

It is an arithmetic number, because the mean of its divisors is an integer number (12827808).

Almost surely, 2342071520 is an apocalyptic number.

342071520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342071520 is an abundant number, since it is smaller than the sum of its proper divisors (889398048).

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

342071520 is a wasteful number, since it uses less digits than its factorization.

342071520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101832 (or 101824 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 342071520 is about 18495.1755871633. The cubic root of 342071520 is about 699.3678101757.

The spelling of 342071520 in words is "three hundred forty-two million, seventy-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 101807 203614 305421 407228 509035 610842 712649 814456 1018070 1221684 1425298 1527105 1628912 2036140 2137947 2443368 2850596 3054210 3257824 3563245 4072280 4275894 4886736 5701192 6108420 7126490 8144560 8551788 9773472 10689735 11402384 12216840 14252980 16289120 17103576 21379470 22804768 24433680 28505960 34207152 42758940 48867360 57011920 68414304 85517880 114023840 171035760 342071520