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342618240 = 2735178447
BaseRepresentation
bin10100011010111…
…111000010000000
3212212200210212110
4110122333002000
51200202240430
653555255320
711330130666
oct2432770200
9785623773
10342618240
11166443178
12968aa540
1355ca02b3
1433708c36
152012b7b0
hex146bf080

342618240 has 64 divisors (see below), whose sum is σ = 1092101760. Its totient is φ = 91364352.

The previous prime is 342618233. The next prime is 342618247. The reversal of 342618240 is 42816243.

It is an interprime number because it is at equal distance from previous prime (342618233) and next prime (342618247).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 342618198 and 342618207.

It is not an unprimeable number, because it can be changed into a prime (342618247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87304 + ... + 91143.

It is an arithmetic number, because the mean of its divisors is an integer number (17064090).

Almost surely, 2342618240 is an apocalyptic number.

342618240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342618240 is an abundant number, since it is smaller than the sum of its proper divisors (749483520).

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

342618240 is a wasteful number, since it uses less digits than its factorization.

342618240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178469 (or 178457 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 342618240 is about 18509.9497568200. The cubic root of 342618240 is about 699.7402029109.

The spelling of 342618240 in words is "three hundred forty-two million, six hundred eighteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 178447 356894 535341 713788 892235 1070682 1427576 1784470 2141364 2676705 2855152 3568940 4282728 5353410 5710304 7137880 8565456 10706820 11420608 14275760 17130912 21413640 22841216 28551520 34261824 42827280 57103040 68523648 85654560 114206080 171309120 342618240