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342164088 = 23347241313
BaseRepresentation
bin10100011001010…
…000001001111000
3212211211201220000
4110121100021320
51200043222323
653541433000
711323226640
oct2431201170
9784751800
10342164088
11166162a42
129670b760
1355b71676
143362b520
152008be43
hex14650278

342164088 has 160 divisors (see below), whose sum is σ = 1103345760. Its totient is φ = 97044480.

The previous prime is 342164059. The next prime is 342164093. The reversal of 342164088 is 880461243.

342164088 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 640 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1093020 + ... + 1093332.

It is an arithmetic number, because the mean of its divisors is an integer number (6895911).

Almost surely, 2342164088 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 342164088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551672880).

342164088 is an abundant number, since it is smaller than the sum of its proper divisors (761181672).

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

342164088 is a wasteful number, since it uses less digits than its factorization.

342164088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 342164088 is about 18497.6779083214. The cubic root of 342164088 is about 699.4308898115.

The spelling of 342164088 in words is "three hundred forty-two million, one hundred sixty-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 241 252 313 324 378 482 504 567 626 648 723 756 939 964 1134 1252 1446 1512 1687 1878 1928 2169 2191 2268 2504 2817 2892 3374 3756 4338 4382 4536 5061 5634 5784 6507 6573 6748 7512 8451 8676 8764 10122 11268 13014 13146 13496 15183 16902 17352 17528 19521 19719 20244 22536 25353 26028 26292 30366 33804 39042 39438 40488 45549 50706 52056 52584 59157 60732 67608 75433 78084 78876 91098 101412 118314 121464 136647 150866 156168 157752 177471 182196 202824 226299 236628 273294 301732 354942 364392 452598 473256 528031 546588 603464 678897 709884 905196 1056062 1093176 1357794 1419768 1584093 1810392 2036691 2112124 2715588 3168186 4073382 4224248 4752279 5431176 6110073 6336372 8146764 9504558 12220146 12672744 14256837 16293528 19009116 24440292 28513674 38018232 42770511 48880584 57027348 85541022 114054696 171082044 342164088