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3361904 = 247132309
BaseRepresentation
bin1100110100110001110000
320022210122222
430310301300
51330040104
6200020212
740401320
oct14646160
96283588
103361904
111996937
121161668
139092c0
14637280
154661be
hex334c70

3361904 has 40 divisors (see below), whose sum is σ = 8020320. Its totient is φ = 1329408.

The previous prime is 3361901. The next prime is 3361907. The reversal of 3361904 is 4091633.

It is an interprime number because it is at equal distance from previous prime (3361901) and next prime (3361907).

It is a super-2 number, since 2×33619042 = 22604797010432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3361901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302 + ... + 2610.

It is an arithmetic number, because the mean of its divisors is an integer number (200508).

Almost surely, 23361904 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 3361904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010160).

3361904 is an abundant number, since it is smaller than the sum of its proper divisors (4658416).

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

3361904 is a wasteful number, since it uses less digits than its factorization.

3361904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 3361904 is about 1833.5495630061. The cubic root of 3361904 is about 149.8057336978.

The spelling of 3361904 in words is "three million, three hundred sixty-one thousand, nine hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 2309 4618 9236 16163 18472 30017 32326 36944 60034 64652 120068 129304 210119 240136 258608 420238 480272 840476 1680952 3361904