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3408140 = 2252331239
BaseRepresentation
bin1101000000000100001100
320102011002102
431000010030
51333030030
6201014232
740653161
oct15000414
96364072
103408140
111a1864a
121184378
13924368
1464a068
15474c45
hex34010c

3408140 has 48 divisors (see below), whose sum is σ = 7741440. Its totient is φ = 1256640.

The previous prime is 3408133. The next prime is 3408161. The reversal of 3408140 is 418043.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 14141 + ... + 14379.

It is an arithmetic number, because the mean of its divisors is an integer number (161280).

Almost surely, 23408140 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 3408140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870720).

3408140 is an abundant number, since it is smaller than the sum of its proper divisors (4333300).

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

3408140 is a wasteful number, since it uses less digits than its factorization.

3408140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3408140 is about 1846.1148393315. The cubic root of 3408140 is about 150.4893647080.

The spelling of 3408140 in words is "three million, four hundred eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 239 310 460 478 620 713 956 1195 1426 2390 2852 3565 4780 5497 7130 7409 10994 14260 14818 21988 27485 29636 37045 54970 74090 109940 148180 170407 340814 681628 852035 1704070 3408140