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324240640 = 285432137
BaseRepresentation
bin10011010100111…
…000010100000000
3211121010010112121
4103110320110000
51131001200030
652101334024
711014666663
oct2324702400
9747103477
10324240640
11157030879
1290707314
1352237489
14310c36da
151d6eb47a
hex13538500

324240640 has 108 divisors (see below), whose sum is σ = 800943444. Its totient is φ = 125755392.

The previous prime is 324240613. The next prime is 324240641. The reversal of 324240640 is 46042423.

It can be written as a sum of positive squares in 2 ways, for example, as 153363456 + 170877184 = 12384^2 + 13072^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324240641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2366652 + ... + 2366788.

It is an arithmetic number, because the mean of its divisors is an integer number (7416143).

Almost surely, 2324240640 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 324240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400471722).

324240640 is an abundant number, since it is smaller than the sum of its proper divisors (476702804).

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

324240640 is an equidigital number, since it uses as much as digits as its factorization.

324240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 324240640 is about 18006.6832037441. The cubic root of 324240640 is about 686.9985429803.

The spelling of 324240640 in words is "three hundred twenty-four million, two hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 137 160 172 215 256 274 320 344 430 548 640 685 688 860 1096 1280 1370 1376 1720 1849 2192 2740 2752 3440 3698 4384 5480 5504 5891 6880 7396 8768 9245 10960 11008 11782 13760 14792 17536 18490 21920 23564 27520 29455 29584 35072 36980 43840 47128 55040 58910 59168 73960 87680 94256 117820 118336 147920 175360 188512 235640 236672 253313 295840 377024 471280 473344 506626 591680 754048 942560 1013252 1183360 1266565 1508096 1885120 2026504 2366720 2533130 3770240 4053008 5066260 7540480 8106016 10132520 16212032 20265040 32424064 40530080 64848128 81060160 162120320 324240640