Search a number
-
+
161349504 = 2732914489
BaseRepresentation
bin10011001110111…
…11111110000000
3102020121101220120
421213133332000
5312301141004
624002140240
73666306501
oct1147377600
9366541816
10161349504
11830942a8
1246051680
1327573aa4
1417600ba8
15e2723d9
hex99dff80

161349504 has 64 divisors (see below), whose sum is σ = 443394000. Its totient is φ = 51924992.

The previous prime is 161349493. The next prime is 161349511. The reversal of 161349504 is 405943161.

161349504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3892 + ... + 18380.

Almost surely, 2161349504 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 161349504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221697000).

161349504 is an abundant number, since it is smaller than the sum of its proper divisors (282044496).

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

161349504 is a wasteful number, since it uses less digits than its factorization.

161349504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14535 (or 14523 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 161349504 is about 12702.3424611368. The cubic root of 161349504 is about 544.4055511051.

The spelling of 161349504 in words is "one hundred sixty-one million, three hundred forty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 11136 14489 28978 43467 57956 86934 115912 173868 231824 347736 420181 463648 695472 840362 927296 1260543 1390944 1680724 1854592 2521086 2781888 3361448 5042172 5563776 6722896 10084344 13445792 20168688 26891584 40337376 53783168 80674752 161349504