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3334368 = 25347739
BaseRepresentation
bin1100101110000011100000
320021101220010
430232003200
51323144433
6155244520
740225122
oct14560340
96241803
103334368
111978184
121149740
138c98cb
1462b212
1545ce63
hex32e0e0

3334368 has 48 divisors (see below), whose sum is σ = 8951040. Its totient is φ = 1086336.

The previous prime is 3334361. The next prime is 3334393. The reversal of 3334368 is 8634333.

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

It is a super-2 number, since 2×33343682 = 22236019918848, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3334361) 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, 4143 + ... + 4881.

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

Almost surely, 23334368 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 3334368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475520).

3334368 is an abundant number, since it is smaller than the sum of its proper divisors (5616672).

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

3334368 is a wasteful number, since it uses less digits than its factorization.

3334368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 791 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

The square root of 3334368 is about 1826.0251915020. The cubic root of 3334368 is about 149.3956124867.

It can be divided in two parts, 33343 and 68, that added together give a triangular number (33411 = T258).

The spelling of 3334368 in words is "three million, three hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 739 752 1128 1478 1504 2217 2256 2956 4434 4512 5912 8868 11824 17736 23648 34733 35472 69466 70944 104199 138932 208398 277864 416796 555728 833592 1111456 1667184 3334368