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76396340 = 22519238741
BaseRepresentation
bin1001000110110…
…11011100110100
312022202100002002
410203123130310
5124024140330
611325234432
71615233566
oct443333464
9168670062
1076396340
113a13a779
1221702a18
1312a9b047
14a209336
156a90e45
hex48db734

76396340 has 48 divisors (see below), whose sum is σ = 176238720. Its totient is φ = 27688320.

The previous prime is 76396301. The next prime is 76396343. The reversal of 76396340 is 4369367.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 76396294 and 76396303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76396343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4370 + ... + 13110.

It is an arithmetic number, because the mean of its divisors is an integer number (3671640).

Almost surely, 276396340 is an apocalyptic number.

It is a pronic number, being equal to 8740×8741.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76396340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88119360).

76396340 is an abundant number, since it is smaller than the sum of its proper divisors (99842380).

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

76396340 is a wasteful number, since it uses less digits than its factorization.

76396340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8792 (or 8790 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 38.

The square root of 76396340 is about 8740.4999856988. The cubic root of 76396340 is about 424.3174094718.

The spelling of 76396340 in words is "seventy-six million, three hundred ninety-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 380 437 460 874 1748 2185 4370 8740 8741 17482 34964 43705 87410 166079 174820 201043 332158 402086 664316 804172 830395 1005215 1660790 2010430 3321580 3819817 4020860 7639634 15279268 19099085 38198170 76396340