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3324314340 = 2232583222511
BaseRepresentation
bin1100011000100101…
…0000001011100100
322120200021122222100
43012021100023210
523302011024330
61305511332100
7145244130354
oct30611201344
98520248870
103324314340
111456541626
12789381030
1340c946409
14237708b64
15146ca7060
hexc62502e4

3324314340 has 72 divisors (see below), whose sum is σ = 10205290368. Its totient is φ = 875799360.

The previous prime is 3324314333. The next prime is 3324314353. The reversal of 3324314340 is 434134233.

3324314340 is a `hidden beast` number, since 3 + 3 + 2 + 4 + 314 + 340 = 666.

It is a super-2 number, since 2×33243143402 = 22102131662259271200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96316 + ... + 126195.

It is an arithmetic number, because the mean of its divisors is an integer number (141740144).

Almost surely, 23324314340 is an apocalyptic number.

3324314340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3324314340 is an abundant number, since it is smaller than the sum of its proper divisors (6880976028).

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

3324314340 is a wasteful number, since it uses less digits than its factorization.

3324314340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222609 (or 222604 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3324314340 is about 57656.8672405985. The cubic root of 3324314340 is about 1492.4531066132.

Adding to 3324314340 its reverse (434134233), we get a palindrome (3758448573).

The spelling of 3324314340 in words is "three billion, three hundred twenty-four million, three hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2490 2988 3735 4980 7470 14940 222511 445022 667533 890044 1112555 1335066 2002599 2225110 2670132 3337665 4005198 4450220 6675330 8010396 10012995 13350660 18468413 20025990 36936826 40051980 55405239 73873652 92342065 110810478 166215717 184684130 221620956 277026195 332431434 369368260 554052390 664862868 831078585 1108104780 1662157170 3324314340