Search a number
-
+
161679384 = 233217314261
BaseRepresentation
bin10011010001100…
…00100000011000
3102021020011102100
421220300200120
5312342220014
624013203400
74002152316
oct1150604030
9367204370
10161679384
118329a129
1246190560
132765ac99
14176890b6
15e2da009
hex9a30818

161679384 has 96 divisors (see below), whose sum is σ = 478707840. Its totient is φ = 49075200.

The previous prime is 161679361. The next prime is 161679407. The reversal of 161679384 is 483976161.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (161679361) and next prime (161679407).

It is a super-2 number, since 2×1616793842 = 52280446421238912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35814 + ... + 40074.

It is an arithmetic number, because the mean of its divisors is an integer number (4986540).

Almost surely, 2161679384 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 161679384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239353920).

161679384 is an abundant number, since it is smaller than the sum of its proper divisors (317028456).

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

161679384 is a wasteful number, since it uses less digits than its factorization.

161679384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321 (or 4314 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 161679384 is about 12715.3208374779. The cubic root of 161679384 is about 544.7763119847.

The spelling of 161679384 in words is "one hundred sixty-one million, six hundred seventy-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 31 34 36 51 62 68 72 93 102 124 136 153 186 204 248 279 306 372 408 527 558 612 744 1054 1116 1224 1581 2108 2232 3162 4216 4261 4743 6324 8522 9486 12648 12783 17044 18972 25566 34088 37944 38349 51132 72437 76698 102264 132091 144874 153396 217311 264182 289748 306792 396273 434622 528364 579496 651933 792546 869244 1056728 1188819 1303866 1585092 1738488 2245547 2377638 2607732 3170184 4491094 4755276 5215464 6736641 8982188 9510552 13473282 17964376 20209923 26946564 40419846 53893128 80839692 161679384