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76340376 = 23327167907
BaseRepresentation
bin1001000110011…
…01110010011000
312022122111022100
410203031302120
5124020343001
611324123400
71614611460
oct443156230
9168574270
1076340376
113a101722
1221696560
1312a7b728
14a1d2ba0
156a7e586
hex48cdc98

76340376 has 96 divisors (see below), whose sum is σ = 237968640. Its totient is φ = 21657024.

The previous prime is 76340371. The next prime is 76340377. The reversal of 76340376 is 67304367.

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

It is a self number, because there is not a number n which added to its sum of digits gives 76340376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76340371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83715 + ... + 84621.

It is an arithmetic number, because the mean of its divisors is an integer number (2478840).

Almost surely, 276340376 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 76340376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118984320).

76340376 is an abundant number, since it is smaller than the sum of its proper divisors (161628264).

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

76340376 is a wasteful number, since it uses less digits than its factorization.

76340376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 76340376 is about 8737.2979804972. The cubic root of 76340376 is about 424.2137731791.

The spelling of 76340376 in words is "seventy-six million, three hundred forty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 167 168 252 334 501 504 668 907 1002 1169 1336 1503 1814 2004 2338 2721 3006 3507 3628 4008 4676 5442 6012 6349 7014 7256 8163 9352 10521 10884 12024 12698 14028 16326 19047 21042 21768 25396 28056 32652 38094 42084 50792 57141 65304 76188 84168 114282 151469 152376 228564 302938 454407 457128 605876 908814 1060283 1211752 1363221 1817628 2120566 2726442 3180849 3635256 4241132 5452884 6361698 8482264 9542547 10905768 12723396 19085094 25446792 38170188 76340376