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3391416 = 233372243
BaseRepresentation
bin1100111011111110111000
320101022011000
430323332320
51332011131
6200405000
740553340
oct14737670
96338130
103391416
111a07026
121176760
13919872
14643d20
1546ece6
hex33bfb8

3391416 has 64 divisors (see below), whose sum is σ = 10771200. Its totient is φ = 968544.

The previous prime is 3391393. The next prime is 3391433. The reversal of 3391416 is 6141933.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3391416.

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, 391 + ... + 2633.

It is an arithmetic number, because the mean of its divisors is an integer number (168300).

Almost surely, 23391416 is an apocalyptic number.

3391416 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 3391416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385600).

3391416 is an abundant number, since it is smaller than the sum of its proper divisors (7379784).

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

3391416 is a wasteful number, since it uses less digits than its factorization.

3391416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2255 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 3391416 is about 1841.5797566220. The cubic root of 3391416 is about 150.2428067538.

It can be divided in two parts, 33914 and 16, that added together give a triangular number (33930 = T260).

The spelling of 3391416 in words is "three million, three hundred ninety-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 2243 4486 6729 8972 13458 15701 17944 20187 26916 31402 40374 47103 53832 60561 62804 80748 94206 121122 125608 141309 161496 188412 242244 282618 376824 423927 484488 565236 847854 1130472 1695708 3391416