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3390336 = 2735109
BaseRepresentation
bin1100111011101110000000
320101020200000
430323232000
51331442321
6200400000
740550235
oct14735600
96336600
103390336
111a06234
121176000
13919221
1464378c
1546e826
hex33bb80

3390336 has 96 divisors (see below), whose sum is σ = 10210200. Its totient is φ = 1119744.

The previous prime is 3390329. The next prime is 3390371. The reversal of 3390336 is 6330933.

3390336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33903362 = 22988756385792, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31050 + ... + 31158.

Almost surely, 23390336 is an apocalyptic number.

3390336 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 3390336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105100).

3390336 is an abundant number, since it is smaller than the sum of its proper divisors (6819864).

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

3390336 is an equidigital number, since it uses as much as digits as its factorization.

3390336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

The square root of 3390336 is about 1841.2865067664. The cubic root of 3390336 is about 150.2268567339.

The spelling of 3390336 in words is "three million, three hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 109 128 144 162 192 216 218 243 288 324 327 384 432 436 486 576 648 654 864 872 972 981 1152 1296 1308 1728 1744 1944 1962 2592 2616 2943 3456 3488 3888 3924 5184 5232 5886 6976 7776 7848 8829 10368 10464 11772 13952 15552 15696 17658 20928 23544 26487 31104 31392 35316 41856 47088 52974 62784 70632 94176 105948 125568 141264 188352 211896 282528 376704 423792 565056 847584 1130112 1695168 3390336