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3225240 = 2332517231
BaseRepresentation
bin1100010011011010011000
320001212012100
430103122120
51311201430
6153043400
736262014
oct14233230
96055170
103225240
111903197
1210b6560
1388c035
145dd544
1543a960
hex313698

3225240 has 144 divisors (see below), whose sum is σ = 11494080. Its totient is φ = 783360.

The previous prime is 3225227. The next prime is 3225247. The reversal of 3225240 is 425223.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3225247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 104025 + ... + 104055.

It is an arithmetic number, because the mean of its divisors is an integer number (79820).

Almost surely, 23225240 is an apocalyptic number.

3225240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3225240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5747040).

3225240 is an abundant number, since it is smaller than the sum of its proper divisors (8268840).

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

3225240 is a wasteful number, since it uses less digits than its factorization.

3225240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3225240 is about 1795.8953198892. The cubic root of 3225240 is about 147.7476830612.

The spelling of 3225240 in words is "three million, two hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 31 34 36 40 45 51 60 62 68 72 85 90 93 102 120 124 136 153 155 170 180 186 204 248 255 279 289 306 310 340 360 372 408 465 510 527 558 578 612 620 680 744 765 867 930 1020 1054 1116 1156 1224 1240 1395 1445 1530 1581 1734 1860 2040 2108 2232 2312 2601 2635 2790 2890 3060 3162 3468 3720 4216 4335 4743 5202 5270 5580 5780 6120 6324 6936 7905 8670 8959 9486 10404 10540 11160 11560 12648 13005 15810 17340 17918 18972 20808 21080 23715 26010 26877 31620 34680 35836 37944 44795 47430 52020 53754 63240 71672 80631 89590 94860 104040 107508 134385 161262 179180 189720 215016 268770 322524 358360 403155 537540 645048 806310 1075080 1612620 3225240