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3225408 = 263107157
BaseRepresentation
bin1100010011011101000000
320001212102120
430103131000
51311203113
6153044240
736262344
oct14233500
96055376
103225408
11190332a
1210b6680
1388c134
145dd624
1543aa23
hex313740

3225408 has 56 divisors (see below), whose sum is σ = 8668512. Its totient is φ = 1058304.

The previous prime is 3225407. The next prime is 3225413. The reversal of 3225408 is 8045223.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3225407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20466 + ... + 20622.

Almost surely, 23225408 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 3225408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334256).

3225408 is an abundant number, since it is smaller than the sum of its proper divisors (5443104).

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

3225408 is a wasteful number, since it uses less digits than its factorization.

3225408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3225408 is about 1795.9420926077. The cubic root of 3225408 is about 147.7502483669.

The spelling of 3225408 in words is "three million, two hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 157 192 214 314 321 428 471 628 642 856 942 1256 1284 1712 1884 2512 2568 3424 3768 5024 5136 6848 7536 10048 10272 15072 16799 20544 30144 33598 50397 67196 100794 134392 201588 268784 403176 537568 806352 1075136 1612704 3225408