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3380616 = 23353747
BaseRepresentation
bin1100111001010110001000
320100202100000
430321112020
51331134431
6200243000
740510011
oct14712610
96322300
103380616
1119a99a8
121170460
13914985
14640008
1546b9e6
hex339588

3380616 has 96 divisors (see below), whose sum is σ = 9959040. Its totient is φ = 1073088.

The previous prime is 3380599. The next prime is 3380623. The reversal of 3380616 is 6160833.

It is a super-2 number, since 2×33806162 = 22857129078912, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3380616.

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, 71905 + ... + 71951.

It is an arithmetic number, because the mean of its divisors is an integer number (103740).

Almost surely, 23380616 is an apocalyptic number.

3380616 is a gapful number since it is divisible by the number (36) 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 3380616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979520).

3380616 is an abundant number, since it is smaller than the sum of its proper divisors (6578424).

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

3380616 is a wasteful number, since it uses less digits than its factorization.

3380616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3380616 is about 1838.6451533670. The cubic root of 3380616 is about 150.0831538943.

The spelling of 3380616 in words is "three million, three hundred eighty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 47 54 72 74 81 94 108 111 141 148 162 188 216 222 243 282 296 324 333 376 423 444 486 564 648 666 846 888 972 999 1128 1269 1332 1692 1739 1944 1998 2538 2664 2997 3384 3478 3807 3996 5076 5217 5994 6956 7614 7992 8991 10152 10434 11421 11988 13912 15228 15651 17982 20868 22842 23976 30456 31302 35964 41736 45684 46953 62604 71928 91368 93906 125208 140859 187812 281718 375624 422577 563436 845154 1126872 1690308 3380616