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102334032 = 24324117333
BaseRepresentation
bin1100001100101…
…11111001010000
321010120002220100
412012113321100
5202144142112
614053212400
72351552643
oct606277120
9233502810
10102334032
1152846089
122a331100
131827cca8
14d83ba5a
158eb62dc
hex6197e50

102334032 has 60 divisors (see below), whose sum is σ = 293395284. Its totient is φ = 33277440.

The previous prime is 102334021. The next prime is 102334079. The reversal of 102334032 is 230433201.

It can be written as a sum of positive squares in 2 ways, for example, as 5035536 + 97298496 = 2244^2 + 9864^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 102333996 and 102334014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2763 + ... + 14570.

Almost surely, 2102334032 is an apocalyptic number.

102334032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102334032 is an abundant number, since it is smaller than the sum of its proper divisors (191061252).

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

102334032 is a wasteful number, since it uses less digits than its factorization.

102334032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17388 (or 17379 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 102334032 is about 10116.0284697108. The cubic root of 102334032 is about 467.7423521565.

Adding to 102334032 its reverse (230433201), we get a palindrome (332767233).

The spelling of 102334032 in words is "one hundred two million, three hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 17333 34666 51999 69332 103998 138664 155997 207996 277328 311994 415992 623988 710653 831984 1247976 1421306 2131959 2495952 2842612 4263918 5685224 6395877 8527836 11370448 12791754 17055672 25583508 34111344 51167016 102334032