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76346096 = 2429374447
BaseRepresentation
bin1001000110011…
…11001011110000
312022122210011012
410203033023300
5124021033341
611324210052
71614634241
oct443171360
9168583135
1076346096
113a105a52
1221699928
1312a81208
14a1d4cc8
156a810eb
hex48cf2f0

76346096 has 40 divisors (see below), whose sum is σ = 157192320. Its totient is φ = 35852544.

The previous prime is 76346093. The next prime is 76346119. The reversal of 76346096 is 69064367.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76346093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14945 + ... + 19391.

It is an arithmetic number, because the mean of its divisors is an integer number (3929808).

Almost surely, 276346096 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 76346096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78596160).

76346096 is an abundant number, since it is smaller than the sum of its proper divisors (80846224).

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

76346096 is a wasteful number, since it uses less digits than its factorization.

76346096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521 (or 4515 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 41.

The square root of 76346096 is about 8737.6253066837. The cubic root of 76346096 is about 424.2243680190.

The spelling of 76346096 in words is "seventy-six million, three hundred forty-six thousand, ninety-six".

Divisors: 1 2 4 8 16 29 37 58 74 116 148 232 296 464 592 1073 2146 4292 4447 8584 8894 17168 17788 35576 71152 128963 164539 257926 329078 515852 658156 1031704 1316312 2063408 2632624 4771631 9543262 19086524 38173048 76346096