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3413940 = 2235173347
BaseRepresentation
bin1101000001011110110100
320102110001020
431001132310
51333221230
6201101140
741006115
oct15013664
96373036
103413940
111a21a42
1211877b0
13926baa
1464c20c
15476810
hex3417b4

3413940 has 48 divisors (see below), whose sum is σ = 10124352. Its totient is φ = 856576.

The previous prime is 3413933. The next prime is 3413941. The reversal of 3413940 is 493143.

3413940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3413940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413941) 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, 654 + ... + 2693.

It is an arithmetic number, because the mean of its divisors is an integer number (210924).

Almost surely, 23413940 is an apocalyptic number.

3413940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3413940 is an abundant number, since it is smaller than the sum of its proper divisors (6710412).

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

3413940 is a wasteful number, since it uses less digits than its factorization.

3413940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3413940 is about 1847.6850380950. The cubic root of 3413940 is about 150.5746843299.

The spelling of 3413940 in words is "three million, four hundred thirteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 3347 6694 10041 13388 16735 20082 33470 40164 50205 56899 66940 100410 113798 170697 200820 227596 284495 341394 568990 682788 853485 1137980 1706970 3413940