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3390940 = 225753457
BaseRepresentation
bin1100111011110111011100
320101021111101
430323313130
51332002230
6200402444
740552060
oct14736734
96337441
103390940
111a06733
121176424
13919597
14643aa0
1546eaca
hex33bddc

3390940 has 48 divisors (see below), whose sum is σ = 8309952. Its totient is φ = 1138176.

The previous prime is 3390931. The next prime is 3390953. The reversal of 3390940 is 490933.

3390940 = T8 + T9 + ... + T272.

3390940 = 6932 + 6942 + ... + 6992.

It is a super-2 number, since 2×33909402 = 22996948167200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3390899 and 3390908.

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, 7192 + ... + 7648.

It is an arithmetic number, because the mean of its divisors is an integer number (173124).

Almost surely, 23390940 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 3390940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154976).

3390940 is an abundant number, since it is smaller than the sum of its proper divisors (4919012).

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

3390940 is a wasteful number, since it uses less digits than its factorization.

3390940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 3390940 is about 1841.4505152189. The cubic root of 3390940 is about 150.2357773476.

The spelling of 3390940 in words is "three million, three hundred ninety thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 457 530 742 914 1060 1484 1828 1855 2285 3199 3710 4570 6398 7420 9140 12796 15995 24221 31990 48442 63980 96884 121105 169547 242210 339094 484420 678188 847735 1695470 3390940