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102345408 = 26321129557
BaseRepresentation
bin1100001100110…
…10101011000000
321010120200111200
412012122223000
5202200023113
614053341200
72351631054
oct606325300
9233520450
10102345408
1152853690
122a337800
1318285219
14d841c64
158eb9873
hex619aac0

102345408 has 168 divisors, whose sum is σ = 331652880. Its totient is φ = 29890560.

The previous prime is 102345407. The next prime is 102345431. The reversal of 102345408 is 804543201.

It is not an unprimeable number, because it can be changed into a prime (102345401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 183466 + ... + 184022.

Almost surely, 2102345408 is an apocalyptic number.

102345408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102345408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165826440).

102345408 is an abundant number, since it is smaller than the sum of its proper divisors (229307472).

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

102345408 is a wasteful number, since it uses less digits than its factorization.

102345408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 102345408 is about 10116.5907300829. The cubic root of 102345408 is about 467.7596837641.

Adding to 102345408 its reverse (804543201), we get a palindrome (906888609).

The spelling of 102345408 in words is "one hundred two million, three hundred forty-five thousand, four hundred eight".