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3340704 = 253172389
BaseRepresentation
bin1100101111100110100000
320021201120210
430233212200
51323400304
6155334120
740252443
oct14574640
96251523
103340704
111981a14
121151340
138cc763
1462d65a
1545ec89
hex32f9a0

3340704 has 96 divisors (see below), whose sum is σ = 9797760. Its totient is φ = 991232.

The previous prime is 3340703. The next prime is 3340709. The reversal of 3340704 is 4070433.

3340704 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 2×33407042 = 22320606431232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3340703) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 37492 + ... + 37580.

It is an arithmetic number, because the mean of its divisors is an integer number (102060).

Almost surely, 23340704 is an apocalyptic number.

3340704 is a gapful number since it is divisible by the number (34) 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 3340704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898880).

3340704 is an abundant number, since it is smaller than the sum of its proper divisors (6457056).

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

3340704 is a wasteful number, since it uses less digits than its factorization.

3340704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 3340704 is about 1827.7592839321. The cubic root of 3340704 is about 149.4901803001.

The spelling of 3340704 in words is "three million, three hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 68 69 89 92 96 102 136 138 178 184 204 267 272 276 356 368 391 408 534 544 552 712 736 782 816 1068 1104 1173 1424 1513 1564 1632 2047 2136 2208 2346 2848 3026 3128 4094 4272 4539 4692 6052 6141 6256 8188 8544 9078 9384 12104 12282 12512 16376 18156 18768 24208 24564 32752 34799 36312 37536 48416 49128 65504 69598 72624 98256 104397 139196 145248 196512 208794 278392 417588 556784 835176 1113568 1670352 3340704