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80314368 = 21531943
BaseRepresentation
bin1001100100110…
…00000000000000
312121010101121020
410302120000000
5131030024433
611545225440
71663442451
oct462300000
9177111536
1080314368
1141376412
1222a92280
13138404c4
14a949128
1570b6cb3
hex4c98000

80314368 has 128 divisors (see below), whose sum is σ = 230683200. Its totient is φ = 24772608.

The previous prime is 80314331. The next prime is 80314379. The reversal of 80314368 is 86341308.

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

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, 1867755 + ... + 1867797.

Almost surely, 280314368 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 80314368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115341600).

80314368 is an abundant number, since it is smaller than the sum of its proper divisors (150368832).

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

80314368 is an equidigital number, since it uses as much as digits as its factorization.

80314368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 80314368 is about 8961.8283848777. The cubic root of 80314368 is about 431.4506047588.

The spelling of 80314368 in words is "eighty million, three hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 43 48 57 64 76 86 96 114 128 129 152 172 192 228 256 258 304 344 384 456 512 516 608 688 768 817 912 1024 1032 1216 1376 1536 1634 1824 2048 2064 2432 2451 2752 3072 3268 3648 4096 4128 4864 4902 5504 6144 6536 7296 8192 8256 9728 9804 11008 12288 13072 14592 16384 16512 19456 19608 22016 24576 26144 29184 32768 33024 38912 39216 44032 49152 52288 58368 66048 77824 78432 88064 98304 104576 116736 132096 155648 156864 176128 209152 233472 264192 311296 313728 352256 418304 466944 528384 622592 627456 704512 836608 933888 1056768 1254912 1409024 1673216 1867776 2113536 2509824 3346432 4227072 5019648 6692864 10039296 13385728 20078592 26771456 40157184 80314368