Search a number
-
+
3397103964 = 2232297941189
BaseRepresentation
bin1100101001111011…
…1011000101011100
322202202020202120100
43022132323011130
523424124311324
61321031421100
7150116623122
oct31236730534
98682222510
103397103964
111493638541
127a9824790
13421a508b7
14243255912
1514d3844c9
hexca7bb15c

3397103964 has 72 divisors (see below), whose sum is σ = 8995896000. Its totient is φ = 1079455104.

The previous prime is 3397103939. The next prime is 3397104041. The reversal of 3397103964 is 4693017933.

It is a happy number.

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, 61882 + ... + 103070.

It is an arithmetic number, because the mean of its divisors is an integer number (124943000).

Almost surely, 23397103964 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 3397103964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497948000).

3397103964 is an abundant number, since it is smaller than the sum of its proper divisors (5598792036).

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

3397103964 is a wasteful number, since it uses less digits than its factorization.

3397103964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41307 (or 41302 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 3397103964 is about 58284.6803542749. The cubic root of 3397103964 is about 1503.2675382939.

The spelling of 3397103964 in words is "three billion, three hundred ninety-seven million, one hundred three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 79 87 116 158 174 237 261 316 348 474 522 711 948 1044 1422 2291 2844 4582 6873 9164 13746 20619 27492 41189 41238 82378 82476 123567 164756 247134 370701 494268 741402 1194481 1482804 2388962 3253931 3583443 4777924 6507862 7166886 9761793 10750329 13015724 14333772 19523586 21500658 29285379 39047172 43001316 58570758 94363999 117141516 188727998 283091997 377455996 566183994 849275991 1132367988 1698551982 3397103964