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3389540 = 2257113171
BaseRepresentation
bin1100111011100001100100
320101012120112
430323201210
51331431130
6200352152
740545020
oct14734144
96335515
103389540
111a05680
121175658
13918a5b
14643380
1546e495
hex33b864

3389540 has 96 divisors (see below), whose sum is σ = 9289728. Its totient is φ = 1008000.

The previous prime is 3389539. The next prime is 3389557. The reversal of 3389540 is 459833.

3389540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33895402 = 22977962823200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3389497 and 3389506.

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 31 ways as a sum of consecutive naturals, for example, 47705 + ... + 47775.

It is an arithmetic number, because the mean of its divisors is an integer number (96768).

Almost surely, 23389540 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 3389540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644864).

3389540 is an abundant number, since it is smaller than the sum of its proper divisors (5900188).

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

3389540 is a wasteful number, since it uses less digits than its factorization.

3389540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 3389540 is about 1841.0703408615. The cubic root of 3389540 is about 150.2150988100.

The spelling of 3389540 in words is "three million, three hundred eighty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 31 35 44 55 62 70 71 77 110 124 140 142 154 155 217 220 284 308 310 341 355 385 434 497 620 682 710 770 781 868 994 1085 1364 1420 1540 1562 1705 1988 2170 2201 2387 2485 3124 3410 3905 4340 4402 4774 4970 5467 6820 7810 8804 9548 9940 10934 11005 11935 15407 15620 21868 22010 23870 24211 27335 30814 44020 47740 48422 54670 61628 77035 96844 109340 121055 154070 169477 242110 308140 338954 484220 677908 847385 1694770 3389540