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341505072 = 2434416427
BaseRepresentation
bin10100010110101…
…111010000110000
3212210121020220000
4110112233100300
51144411130242
653515350000
711314513416
oct2426572060
9783536800
10341505072
111658528a7
1296452300
13559a070c
14334d92b6
151eeaba4c
hex145af430

341505072 has 100 divisors (see below), whose sum is σ = 1012679976. Its totient is φ = 111041280.

The previous prime is 341505067. The next prime is 341505089. The reversal of 341505072 is 270505143.

It is a happy number.

341505072 is a `hidden beast` number, since 3 + 4 + 150 + 507 + 2 = 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 (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49923 + ... + 56349.

Almost surely, 2341505072 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 341505072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506339988).

341505072 is an abundant number, since it is smaller than the sum of its proper divisors (671174904).

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

341505072 is a wasteful number, since it uses less digits than its factorization.

341505072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6488 (or 6473 counting only the distinct ones).

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

The square root of 341505072 is about 18479.8558435936. The cubic root of 341505072 is about 698.9815611559.

The spelling of 341505072 in words is "three hundred forty-one million, five hundred five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 246 324 328 369 432 492 648 656 738 984 1107 1296 1476 1968 2214 2952 3321 4428 5904 6427 6642 8856 12854 13284 17712 19281 25708 26568 38562 51416 53136 57843 77124 102832 115686 154248 173529 231372 263507 308496 347058 462744 520587 527014 694116 790521 925488 1041174 1054028 1388232 1581042 2082348 2108056 2371563 2776464 3162084 4164696 4216112 4743126 6324168 7114689 8329392 9486252 12648336 14229378 18972504 21344067 28458756 37945008 42688134 56917512 85376268 113835024 170752536 341505072