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3380640 = 25357043
BaseRepresentation
bin1100111001010110100000
320100202100220
430321112200
51331140030
6200243040
740510044
oct14712640
96322326
103380640
1119a9a1a
121170480
139149a3
14640024
1546ba10
hex3395a0

3380640 has 48 divisors (see below), whose sum is σ = 10650528. Its totient is φ = 901376.

The previous prime is 3380633. The next prime is 3380659. The reversal of 3380640 is 460833.

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

It is a super-2 number, since 2×33806402 = 22857453619200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3380640.

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, 3042 + ... + 4001.

It is an arithmetic number, because the mean of its divisors is an integer number (221886).

Almost surely, 23380640 is an apocalyptic number.

3380640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3380640 is an abundant number, since it is smaller than the sum of its proper divisors (7269888).

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

3380640 is a wasteful number, since it uses less digits than its factorization.

3380640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7061 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3380640 is about 1838.6516799002. The cubic root of 3380640 is about 150.0835090552.

The spelling of 3380640 in words is "three million, three hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 7043 14086 21129 28172 35215 42258 56344 70430 84516 105645 112688 140860 169032 211290 225376 281720 338064 422580 563440 676128 845160 1126880 1690320 3380640