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3490368 = 2637353
BaseRepresentation
bin1101010100001001000000
320120022212220
431110021000
51343142433
6202451040
741445000
oct15241100
96508786
103490368
111a74402
121203a80
1395290b
1466c000
1548e2b3
hex354240

3490368 has 112 divisors (see below), whose sum is σ = 10972800. Its totient is φ = 978432.

The previous prime is 3490367. The next prime is 3490379. The reversal of 3490368 is 8630943.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3490363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65830 + ... + 65882.

Almost surely, 23490368 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 3490368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486400).

3490368 is an abundant number, since it is smaller than the sum of its proper divisors (7482432).

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

3490368 is an equidigital number, since it uses as much as digits as its factorization.

3490368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3490368 is about 1868.2526595726. The cubic root of 3490368 is about 151.6900424194.

The spelling of 3490368 in words is "three million, four hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 53 56 64 84 96 98 106 112 147 159 168 192 196 212 224 294 318 336 343 371 392 424 448 588 636 672 686 742 784 848 1029 1113 1176 1272 1344 1372 1484 1568 1696 2058 2226 2352 2544 2597 2744 2968 3136 3392 4116 4452 4704 5088 5194 5488 5936 7791 8232 8904 9408 10176 10388 10976 11872 15582 16464 17808 18179 20776 21952 23744 31164 32928 35616 36358 41552 54537 62328 65856 71232 72716 83104 109074 124656 145432 166208 218148 249312 290864 436296 498624 581728 872592 1163456 1745184 3490368