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3359712 = 25379443
BaseRepresentation
bin1100110100001111100000
320022200122210
430310033200
51330002322
6200002120
740362036
oct14641740
96280583
103359712
111995224
121160340
139082c5
14636556
1546570c
hex3343e0

3359712 has 48 divisors (see below), whose sum is σ = 8951040. Its totient is φ = 1103232.

The previous prime is 3359689. The next prime is 3359729. The reversal of 3359712 is 2179533.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33597122 = 22575329445888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3359712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7363 + ... + 7805.

It is an arithmetic number, because the mean of its divisors is an integer number (186480).

Almost surely, 23359712 is an apocalyptic number.

3359712 is a gapful number since it is divisible by the number (32) 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 3359712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475520).

3359712 is an abundant number, since it is smaller than the sum of its proper divisors (5591328).

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

3359712 is a wasteful number, since it uses less digits than its factorization.

3359712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 527 counting only the distinct ones).

The product of its digits is 5670, while the sum is 30.

The square root of 3359712 is about 1832.9517178584. The cubic root of 3359712 is about 149.7731682664.

The spelling of 3359712 in words is "three million, three hundred fifty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 443 474 632 886 948 1264 1329 1772 1896 2528 2658 3544 3792 5316 7088 7584 10632 14176 21264 34997 42528 69994 104991 139988 209982 279976 419964 559952 839928 1119904 1679856 3359712