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80314038 = 23372127239
BaseRepresentation
bin1001100100101…
…11111010110110
312121010101011000
410302113322312
5131030022123
611545224130
71663441500
oct462277266
9177111130
1080314038
1141376142
1222a92046
13138402cc
14a948d70
1570b6b43
hex4c97eb6

80314038 has 96 divisors (see below), whose sum is σ = 210124800. Its totient is φ = 22670928.

The previous prime is 80314033. The next prime is 80314043. The reversal of 80314038 is 83041308.

It is an interprime number because it is at equal distance from previous prime (80314033) and next prime (80314043).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80314033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335923 + ... + 336161.

It is an arithmetic number, because the mean of its divisors is an integer number (2188800).

Almost surely, 280314038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80314038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105062400).

80314038 is an abundant number, since it is smaller than the sum of its proper divisors (129810762).

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

80314038 is a wasteful number, since it uses less digits than its factorization.

80314038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 80314038 is about 8961.8099734373. The cubic root of 80314038 is about 431.4500138355.

It can be divided in two parts, 803 and 14038, that added together give a palindrome (14841).

The spelling of 80314038 in words is "eighty million, three hundred fourteen thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 127 147 189 239 254 294 378 381 441 478 717 762 882 889 1143 1323 1434 1673 1778 2151 2286 2646 2667 3346 3429 4302 5019 5334 6223 6453 6858 8001 10038 11711 12446 12906 15057 16002 18669 23422 24003 30114 30353 35133 37338 45171 48006 56007 60706 70266 90342 91059 105399 112014 168021 182118 210798 212471 273177 316197 336042 424942 546354 632394 637413 819531 1274826 1487297 1639062 1912239 2974594 3824478 4461891 5736717 8923782 11473434 13385673 26771346 40157019 80314038