Search a number
-
+
33970104 = 233477489
BaseRepresentation
bin1000000110010…
…1011110111000
32100220212020000
42001211132320
532144020404
63212033000
7561512130
oct201453670
970825200
1033970104
11181a2273
12b462760
13706506c
144723ac0
152eb0339
hex20657b8

33970104 has 80 divisors (see below), whose sum is σ = 108754800. Its totient is φ = 9704448.

The previous prime is 33970093. The next prime is 33970117. The reversal of 33970104 is 40107933.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 792 + ... + 8280.

It is an arithmetic number, because the mean of its divisors is an integer number (1359435).

Almost surely, 233970104 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 33970104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54377400).

33970104 is an abundant number, since it is smaller than the sum of its proper divisors (74784696).

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

33970104 is a wasteful number, since it uses less digits than its factorization.

33970104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7514 (or 7501 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 33970104 is about 5828.3877702157. The cubic root of 33970104 is about 323.8661998971.

The spelling of 33970104 in words is "thirty-three million, nine hundred seventy thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 7489 14978 22467 29956 44934 52423 59912 67401 89868 104846 134802 157269 179736 202203 209692 269604 314538 404406 419384 471807 539208 606609 629076 808812 943614 1213218 1258152 1415421 1617624 1887228 2426436 2830842 3774456 4246263 4852872 5661684 8492526 11323368 16985052 33970104