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1334323320 = 2335111676053
BaseRepresentation
bin100111110001000…
…0010100001111000
310102222202122111020
41033202002201320
510213041321240
6340223102440
745031363311
oct11742024170
93388678436
101334323320
11625210950
12312a41a20
13183594a35
14c92d7608
157c2200d0
hex4f882878

1334323320 has 128 divisors (see below), whose sum is σ = 4393751040. Its totient is φ = 321482240.

The previous prime is 1334323301. The next prime is 1334323337. The reversal of 1334323320 is 233234331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217414 + ... + 223466.

It is an arithmetic number, because the mean of its divisors is an integer number (34326180).

Almost surely, 21334323320 is an apocalyptic number.

1334323320 is a gapful number since it is divisible by the number (10) 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 1334323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196875520).

1334323320 is an abundant number, since it is smaller than the sum of its proper divisors (3059427720).

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

1334323320 is a wasteful number, since it uses less digits than its factorization.

1334323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6245 (or 6241 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 1334323320 is about 36528.3906023794. The cubic root of 1334323320 is about 1100.9147542358.

Adding to 1334323320 its reverse (233234331), we get a palindrome (1567557651).

It can be divided in two parts, 13343 and 23320, that added together give a palindrome (36663).

The spelling of 1334323320 in words is "one billion, three hundred thirty-four million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 167 220 264 330 334 440 501 660 668 835 1002 1320 1336 1670 1837 2004 2505 3340 3674 4008 5010 5511 6053 6680 7348 9185 10020 11022 12106 14696 18159 18370 20040 22044 24212 27555 30265 36318 36740 44088 48424 55110 60530 66583 72636 73480 90795 110220 121060 133166 145272 181590 199749 220440 242120 266332 332915 363180 399498 532664 665830 726360 798996 998745 1010851 1331660 1597992 1997490 2021702 2663320 3032553 3994980 4043404 5054255 6065106 7989960 8086808 10108510 11119361 12130212 15162765 20217020 22238722 24260424 30325530 33358083 40434040 44477444 55596805 60651060 66716166 88954888 111193610 121302120 133432332 166790415 222387220 266864664 333580830 444774440 667161660 1334323320