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102340944 = 24322233187
BaseRepresentation
bin1100001100110…
…01100101010000
321010120110101100
412012121211100
5202144402234
614053304400
72351612046
oct606314520
9233513340
10102340944
11528502a2
122a335100
1318283194
14d840396
158eb8399
hex6199950

102340944 has 60 divisors (see below), whose sum is σ = 287787136. Its totient is φ = 33950016.

The previous prime is 102340939. The next prime is 102340957. The reversal of 102340944 is 449043201.

It is a super-2 number, since 2×1023409442 = 20947337637622272, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 30519 + ... + 33705.

Almost surely, 2102340944 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 102340944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143893568).

102340944 is an abundant number, since it is smaller than the sum of its proper divisors (185446192).

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

102340944 is a wasteful number, since it uses less digits than its factorization.

102340944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 102340944 is about 10116.3700999914. The cubic root of 102340944 is about 467.7528829066.

The spelling of 102340944 in words is "one hundred two million, three hundred forty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 223 446 669 892 1338 1784 2007 2676 3187 3568 4014 5352 6374 8028 9561 10704 12748 16056 19122 25496 28683 32112 38244 50992 57366 76488 114732 152976 229464 458928 710701 1421402 2132103 2842804 4264206 5685608 6396309 8528412 11371216 12792618 17056824 25585236 34113648 51170472 102340944