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340155072 = 26331011949
BaseRepresentation
bin10100010001100…
…101101011000000
3212201001200001000
4110101211223000
51144034430242
653430412000
711300161515
oct2421455300
9781050030
10340155072
111650105a4
1295b01000
135561a0ba
143326730c
151ece1a4c
hex14465ac0

340155072 has 112 divisors (see below), whose sum is σ = 1010412000. Its totient is φ = 112204800.

The previous prime is 340155037. The next prime is 340155103. The reversal of 340155072 is 270551043.

It is a happy number.

340155072 is a `hidden beast` number, since 3 + 40 + 1 + 550 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173554 + ... + 175502.

Almost surely, 2340155072 is an apocalyptic number.

340155072 is a gapful number since it is divisible by the number (32) 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 340155072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505206000).

340155072 is an abundant number, since it is smaller than the sum of its proper divisors (670256928).

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

340155072 is a wasteful number, since it uses less digits than its factorization.

340155072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 340155072 is about 18443.2934152228. The cubic root of 340155072 is about 698.0592993465.

The spelling of 340155072 in words is "three hundred forty million, one hundred fifty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 101 108 144 192 202 216 288 303 404 432 576 606 808 864 909 1212 1616 1728 1818 1949 2424 2727 3232 3636 3898 4848 5454 5847 6464 7272 7796 9696 10908 11694 14544 15592 17541 19392 21816 23388 29088 31184 35082 43632 46776 52623 58176 62368 70164 87264 93552 105246 124736 140328 174528 187104 196849 210492 280656 374208 393698 420984 561312 590547 787396 841968 1122624 1181094 1574792 1683936 1771641 2362188 3149584 3367872 3543282 4724376 5314923 6299168 7086564 9448752 10629846 12598336 14173128 18897504 21259692 28346256 37795008 42519384 56692512 85038768 113385024 170077536 340155072