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324012040 = 2351123101317
BaseRepresentation
bin10011010100000…
…000100000001000
3211120200111221221
4103110000200020
51130421341130
652052411424
711013025342
oct2324004010
9746614857
10324012040
11156995050
1290616b74
1352187401
1431064292
151d6a387a
hex13500808

324012040 has 128 divisors (see below), whose sum is σ = 840741120. Its totient is φ = 111232000.

The previous prime is 324012037. The next prime is 324012043. The reversal of 324012040 is 40210423.

It is an interprime number because it is at equal distance from previous prime (324012037) and next prime (324012043).

It is not an unprimeable number, because it can be changed into a prime (324012043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1021962 + ... + 1022278.

It is an arithmetic number, because the mean of its divisors is an integer number (6568290).

Almost surely, 2324012040 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 324012040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420370560).

324012040 is an abundant number, since it is smaller than the sum of its proper divisors (516729080).

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

324012040 is a wasteful number, since it uses less digits than its factorization.

324012040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 324012040 is about 18000.3344413375. The cubic root of 324012040 is about 686.8370530559.

Adding to 324012040 its reverse (40210423), we get a palindrome (364222463).

The spelling of 324012040 in words is "three hundred twenty-four million, twelve thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 101 110 115 184 202 220 230 253 317 404 440 460 505 506 634 808 920 1010 1012 1111 1265 1268 1585 2020 2024 2222 2323 2530 2536 3170 3487 4040 4444 4646 5060 5555 6340 6974 7291 8888 9292 10120 11110 11615 12680 13948 14582 17435 18584 22220 23230 25553 27896 29164 32017 34870 36455 44440 46460 51106 58328 64034 69740 72910 80201 92920 102212 127765 128068 139480 145820 160085 160402 204424 255530 256136 291640 320170 320804 352187 401005 511060 640340 641608 704374 736391 802010 1022120 1280680 1408748 1472782 1604020 1760935 2817496 2945564 3208040 3521870 3681955 5891128 7043740 7363910 8100301 14087480 14727820 16200602 29455640 32401204 40501505 64802408 81003010 162006020 324012040