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102412344 = 23331179769
BaseRepresentation
bin1100001101010…
…11000000111000
321010201002022210
412012223000320
5202204143334
614055015120
72352330156
oct606530070
9233632283
10102412344
1152899a01
122a36a4a0
13182a9828
14d85c3d6
158ece5e9
hex61ab038

102412344 has 64 divisors (see below), whose sum is σ = 266112000. Its totient is φ = 32808960.

The previous prime is 102412333. The next prime is 102412363. The reversal of 102412344 is 443214201.

It is a self number, because there is not a number n which added to its sum of digits gives 102412344.

It is a congruent number.

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, 132792 + ... + 133560.

It is an arithmetic number, because the mean of its divisors is an integer number (4158000).

Almost surely, 2102412344 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 102412344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056000).

102412344 is an abundant number, since it is smaller than the sum of its proper divisors (163699656).

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

102412344 is a wasteful number, since it uses less digits than its factorization.

102412344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 102412344 is about 10119.8984184625. The cubic root of 102412344 is about 467.8616363561.

Adding to 102412344 its reverse (443214201), we get a palindrome (545626545).

The spelling of 102412344 in words is "one hundred two million, four hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 179 186 248 358 372 537 716 744 769 1074 1432 1538 2148 2307 3076 4296 4614 5549 6152 9228 11098 16647 18456 22196 23839 33294 44392 47678 66588 71517 95356 133176 137651 143034 190712 275302 286068 412953 550604 572136 825906 1101208 1651812 3303624 4267181 8534362 12801543 17068724 25603086 34137448 51206172 102412344