Search a number
-
+
3497104 = 2413172343
BaseRepresentation
bin1101010101110010010000
320120200010101
431111302100
51343401404
6202542144
741503432
oct15256220
96520111
103497104
111a79476
121207954
139559c0
14670652
154912a4
hex355c90

3497104 has 80 divisors (see below), whose sum is σ = 8249472. Its totient is φ = 1419264.

The previous prime is 3497089. The next prime is 3497113. The reversal of 3497104 is 4017943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81307 + ... + 81349.

Almost surely, 23497104 is an apocalyptic number.

3497104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3497104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124736).

3497104 is an abundant number, since it is smaller than the sum of its proper divisors (4752368).

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

3497104 is a wasteful number, since it uses less digits than its factorization.

3497104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 3497104 is about 1870.0545446591. The cubic root of 3497104 is about 151.7875610308.

The spelling of 3497104 in words is "three million, four hundred ninety-seven thousand, one hundred four".

Divisors: 1 2 4 8 13 16 17 23 26 34 43 46 52 68 86 92 104 136 172 184 208 221 272 299 344 368 391 442 559 598 688 731 782 884 989 1118 1196 1462 1564 1768 1978 2236 2392 2924 3128 3536 3956 4472 4784 5083 5848 6256 7912 8944 9503 10166 11696 12857 15824 16813 19006 20332 25714 33626 38012 40664 51428 67252 76024 81328 102856 134504 152048 205712 218569 269008 437138 874276 1748552 3497104