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324241408 = 2111767139
BaseRepresentation
bin10011010100111…
…000100000000000
3211121010011121001
4103110320200000
51131001211113
652101341344
711015002141
oct2324704000
9747104531
10324241408
11157031407
1290707854
135223792a
14310c3ac8
151d6eb7dd
hex13538800

324241408 has 96 divisors (see below), whose sum is σ = 701719200. Its totient is φ = 149225472.

The previous prime is 324241381. The next prime is 324241417. The reversal of 324241408 is 804142423.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2332603 + ... + 2332741.

It is an arithmetic number, because the mean of its divisors is an integer number (7309575).

Almost surely, 2324241408 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 324241408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350859600).

324241408 is an abundant number, since it is smaller than the sum of its proper divisors (377477792).

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

324241408 is a wasteful number, since it uses less digits than its factorization.

324241408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 324241408 is about 18006.7045291469. The cubic root of 324241408 is about 686.9990853907. Note that the first 3 decimals are identical.

The spelling of 324241408 in words is "three hundred twenty-four million, two hundred forty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 67 68 128 134 136 139 256 268 272 278 512 536 544 556 1024 1072 1088 1112 1139 2048 2144 2176 2224 2278 2363 4288 4352 4448 4556 4726 8576 8704 8896 9112 9313 9452 17152 17408 17792 18224 18626 18904 34304 34816 35584 36448 37252 37808 68608 71168 72896 74504 75616 137216 142336 145792 149008 151232 158321 284672 291584 298016 302464 316642 583168 596032 604928 633284 1166336 1192064 1209856 1266568 2332672 2384128 2419712 2533136 4768256 4839424 5066272 9536512 10132544 19073024 20265088 40530176 81060352 162120704 324241408