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3394008 = 233319827
BaseRepresentation
bin1100111100100111011000
320101102201000
430330213120
51332102013
6200425000
740564032
oct14744730
96342630
103394008
111a08a72
121178160
1391aab7
14644c52
15470973
hex33c9d8

3394008 has 64 divisors (see below), whose sum is σ = 9936000. Its totient is φ = 1070496.

The previous prime is 3393997. The next prime is 3394031. The reversal of 3394008 is 8004933.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3691 + ... + 4517.

It is an arithmetic number, because the mean of its divisors is an integer number (155250).

Almost surely, 23394008 is an apocalyptic number.

3394008 is a gapful number since it is divisible by the number (38) 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 3394008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4968000).

3394008 is an abundant number, since it is smaller than the sum of its proper divisors (6541992).

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

3394008 is a wasteful number, since it uses less digits than its factorization.

3394008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 851 counting only the distinct ones).

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

The square root of 3394008 is about 1842.2833658262. The cubic root of 3394008 is about 150.2810729909.

The spelling of 3394008 in words is "three million, three hundred ninety-four thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 827 1026 1368 1654 2052 2481 3308 4104 4962 6616 7443 9924 14886 15713 19848 22329 29772 31426 44658 47139 59544 62852 89316 94278 125704 141417 178632 188556 282834 377112 424251 565668 848502 1131336 1697004 3394008