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3499680 = 253523317
BaseRepresentation
bin1101010110011010100000
320120210122210
431112122200
51343442210
6203002120
741514102
oct15263240
96523583
103499680
111a803a8
121209340
13956c22
14671572
15491e20
hex3566a0

3499680 has 96 divisors (see below), whose sum is σ = 11539584. Its totient is φ = 889856.

The previous prime is 3499679. The next prime is 3499681. The reversal of 3499680 is 869943.

It is an interprime number because it is at equal distance from previous prime (3499679) and next prime (3499681).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3499681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10882 + ... + 11198.

It is an arithmetic number, because the mean of its divisors is an integer number (120204).

Almost surely, 23499680 is an apocalyptic number.

3499680 is a gapful number since it is divisible by the number (30) 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 3499680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5769792).

3499680 is an abundant number, since it is smaller than the sum of its proper divisors (8039904).

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

3499680 is a wasteful number, since it uses less digits than its factorization.

3499680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 3499680 is about 1870.7431678346. The cubic root of 3499680 is about 151.8248212696.

The spelling of 3499680 in words is "three million, four hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 317 345 368 460 480 552 634 690 736 920 951 1104 1268 1380 1585 1840 1902 2208 2536 2760 3170 3680 3804 4755 5072 5520 6340 7291 7608 9510 10144 11040 12680 14582 15216 19020 21873 25360 29164 30432 36455 38040 43746 50720 58328 72910 76080 87492 109365 116656 145820 152160 174984 218730 233312 291640 349968 437460 583280 699936 874920 1166560 1749840 3499680