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102322440 = 2336511229
BaseRepresentation
bin1100001100101…
…01000100001000
321010112112000000
412012111010020
5202143304230
614053043000
72351504103
oct606250410
9233475000
10102322440
1152838400
122a326460
131827792c
14d83773a
158eb2b60
hex6195108

102322440 has 336 divisors, whose sum is σ = 392496300. Its totient is φ = 23950080.

The previous prime is 102322369. The next prime is 102322447. The reversal of 102322440 is 44223201.

It can be written as a sum of positive squares in 2 ways, for example, as 101969604 + 352836 = 10098^2 + 594^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102322447) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3528346 + ... + 3528374.

Almost surely, 2102322440 is an apocalyptic number.

102322440 is a gapful number since it is divisible by the number (10) 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 102322440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196248150).

102322440 is an abundant number, since it is smaller than the sum of its proper divisors (290173860).

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

102322440 is a wasteful number, since it uses less digits than its factorization.

102322440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 102322440 is about 10115.4555013603. The cubic root of 102322440 is about 467.7246901465.

Adding to 102322440 its reverse (44223201), we get a palindrome (146545641).

The spelling of 102322440 in words is "one hundred two million, three hundred twenty-two thousand, four hundred forty".