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1339238016 = 2733479809
BaseRepresentation
bin100111111010011…
…0010011010000000
310110100000100012000
41033310302122000
510220321104031
6340520304000
745121223004
oct11764623200
93410010160
101339238016
11627a68386
12314612000
131845c5a3c
14c9c16704
157c8913e6
hex4fd32680

1339238016 has 128 divisors (see below), whose sum is σ = 3965760000. Its totient is φ = 444930048.

The previous prime is 1339237979. The next prime is 1339238027. The reversal of 1339238016 is 6108329331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1655020 + ... + 1655828.

It is an arithmetic number, because the mean of its divisors is an integer number (30982500).

Almost surely, 21339238016 is an apocalyptic number.

1339238016 is a gapful number since it is divisible by the number (16) 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 1339238016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982880000).

1339238016 is an abundant number, since it is smaller than the sum of its proper divisors (2626521984).

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

1339238016 is an equidigital number, since it uses as much as digits as its factorization.

1339238016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1339238016 is about 36595.6010471204. The cubic root of 1339238016 is about 1102.2647598433.

The spelling of 1339238016 in words is "one billion, three hundred thirty-nine million, two hundred thirty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 479 576 809 864 958 1152 1437 1618 1728 1916 2427 2874 3236 3456 3832 4311 4854 5748 6472 7281 7664 8622 9708 11496 12933 12944 14562 15328 17244 19416 21843 22992 25866 25888 29124 30656 34488 38832 43686 45984 51732 51776 58248 61312 68976 77664 87372 91968 103464 103552 116496 137952 155328 174744 183936 206928 232992 275904 310656 349488 387511 413856 465984 551808 698976 775022 827712 931968 1162533 1397952 1550044 1655424 2325066 2795904 3100088 3487599 4650132 6200176 6975198 9300264 10462797 12400352 13950396 18600528 20925594 24800704 27900792 37201056 41851188 49601408 55801584 74402112 83702376 111603168 148804224 167404752 223206336 334809504 446412672 669619008 1339238016