Search a number
-
+
369808164 = 2232117911821
BaseRepresentation
bin10110000010101…
…101001100100100
3221202212012102200
4112002231030210
51224132330124
6100410134500
712110213625
oct2602551444
9852765380
10369808164
1117a824390
12a3a21430
135b8001cb
1437185a4c
15226ecbc9
hex160ad324

369808164 has 72 divisors (see below), whose sum is σ = 1032769920. Its totient is φ = 110635200.

The previous prime is 369808141. The next prime is 369808177. The reversal of 369808164 is 461808963.

It is a super-2 number, since 2×3698081642 = 273516156322101792, which contains 22 as substring.

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, 25374 + ... + 37194.

Almost surely, 2369808164 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 369808164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516384960).

369808164 is an abundant number, since it is smaller than the sum of its proper divisors (662961756).

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

369808164 is a wasteful number, since it uses less digits than its factorization.

369808164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11921 (or 11916 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 369808164 is about 19230.3968757798. The cubic root of 369808164 is about 717.7813415893.

The spelling of 369808164 in words is "three hundred sixty-nine million, eight hundred eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 79 99 132 158 198 237 316 396 474 711 869 948 1422 1738 2607 2844 3476 5214 7821 10428 11821 15642 23642 31284 35463 47284 70926 106389 130031 141852 212778 260062 390093 425556 520124 780186 933859 1170279 1560372 1867718 2340558 2801577 3735436 4681116 5603154 8404731 10272449 11206308 16809462 20544898 30817347 33618924 41089796 61634694 92452041 123269388 184904082 369808164