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80338944 = 21337467
BaseRepresentation
bin1001100100111…
…10000000000000
312121011122022110
410302132000000
5131031321234
611545535320
71663604220
oct462360000
9177148273
1080338944
1141392924
1222aa4540
131384b74a
14a954080
1570be1e9
hex4c9e000

80338944 has 112 divisors (see below), whose sum is σ = 245351808. Its totient is φ = 22904832.

The previous prime is 80338939. The next prime is 80338969. The reversal of 80338944 is 44983308.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent 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, 171799 + ... + 172265.

Almost surely, 280338944 is an apocalyptic number.

80338944 is a gapful number since it is divisible by the number (84) 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 80338944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122675904).

80338944 is an abundant number, since it is smaller than the sum of its proper divisors (165012864).

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

80338944 is an equidigital number, since it uses as much as digits as its factorization.

80338944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 80338944 is about 8963.1994287754. The cubic root of 80338944 is about 431.4946078804.

The spelling of 80338944 in words is "eighty million, three hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 467 512 672 768 896 934 1024 1344 1401 1536 1792 1868 2048 2688 2802 3072 3269 3584 3736 4096 5376 5604 6144 6538 7168 7472 8192 9807 10752 11208 12288 13076 14336 14944 19614 21504 22416 24576 26152 28672 29888 39228 43008 44832 52304 57344 59776 78456 86016 89664 104608 119552 156912 172032 179328 209216 239104 313824 358656 418432 478208 627648 717312 836864 956416 1255296 1434624 1673728 1912832 2510592 2869248 3347456 3825664 5021184 5738496 6694912 10042368 11476992 13389824 20084736 26779648 40169472 80338944