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96324384 = 2531379977
BaseRepresentation
bin1011011110111…
…00101100100000
320201020210012210
411233130230200
5144124340014
613320322120
72246513052
oct557345440
9221223183
1096324384
114a410a32
1228313340
1316c577a0
14cb158d2
1586ca859
hex5bdcb20

96324384 has 96 divisors (see below), whose sum is σ = 276030720. Its totient is φ = 29233152.

The previous prime is 96324377. The next prime is 96324421. The reversal of 96324384 is 48342369.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98104 + ... + 99080.

It is an arithmetic number, because the mean of its divisors is an integer number (2875320).

Almost surely, 296324384 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 96324384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138015360).

96324384 is an abundant number, since it is smaller than the sum of its proper divisors (179706336).

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

96324384 is a wasteful number, since it uses less digits than its factorization.

96324384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1074 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 96324384 is about 9814.4986626929. The cubic root of 96324384 is about 458.4008491467.

The spelling of 96324384 in words is "ninety-six million, three hundred twenty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 79 96 104 156 158 208 237 312 316 416 474 624 632 948 977 1027 1248 1264 1896 1954 2054 2528 2931 3081 3792 3908 4108 5862 6162 7584 7816 8216 11724 12324 12701 15632 16432 23448 24648 25402 31264 32864 38103 46896 49296 50804 76206 77183 93792 98592 101608 152412 154366 203216 231549 304824 308732 406432 463098 609648 617464 926196 1003379 1219296 1234928 1852392 2006758 2469856 3010137 3704784 4013516 6020274 7409568 8027032 12040548 16054064 24081096 32108128 48162192 96324384