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102478344 = 233291131303
BaseRepresentation
bin1100001101110…
…11001000001000
321010211102212020
412012323020020
5202213301334
614100244440
72353023453
oct606731010
9233742766
10102478344
1152934551
122a3a0720
1318300897
14d87849a
158ee3e49
hex61bb208

102478344 has 64 divisors (see below), whose sum is σ = 267580800. Its totient is φ = 32664576.

The previous prime is 102478333. The next prime is 102478361. The reversal of 102478344 is 443874201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77997 + ... + 79299.

It is an arithmetic number, because the mean of its divisors is an integer number (4180950).

Almost surely, 2102478344 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 102478344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133790400).

102478344 is an abundant number, since it is smaller than the sum of its proper divisors (165102456).

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

102478344 is a wasteful number, since it uses less digits than its factorization.

102478344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 102478344 is about 10123.1587955539. The cubic root of 102478344 is about 467.9621198064.

The spelling of 102478344 in words is "one hundred two million, four hundred seventy-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 113 116 174 226 232 339 348 452 678 696 904 1303 1356 2606 2712 3277 3909 5212 6554 7818 9831 10424 13108 15636 19662 26216 31272 37787 39324 75574 78648 113361 147239 151148 226722 294478 302296 441717 453444 588956 883434 906888 1177912 1766868 3533736 4269931 8539862 12809793 17079724 25619586 34159448 51239172 102478344