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102340032 = 2635389113
BaseRepresentation
bin1100001100110…
…01010111000000
321010120102010120
412012121113000
5202144340112
614053300240
72351606304
oct606312700
9233512116
10102340032
115284a643
122a334680
1318282942
14d83dd04
158eb7e8c
hex61995c0

102340032 has 112 divisors (see below), whose sum is σ = 281452320. Its totient is φ = 32800768.

The previous prime is 102340031. The next prime is 102340033. The reversal of 102340032 is 230043201.

It is an interprime number because it is at equal distance from previous prime (102340031) and next prime (102340033).

It is a super-2 number, since 2×1023400322 = 20946964299522048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102339993 and 102340020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102340031) 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 15 ways as a sum of consecutive naturals, for example, 905608 + ... + 905720.

Almost surely, 2102340032 is an apocalyptic number.

102340032 is a gapful number since it is divisible by the number (12) 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 102340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140726160).

102340032 is an abundant number, since it is smaller than the sum of its proper divisors (179112288).

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

102340032 is a wasteful number, since it uses less digits than its factorization.

102340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 102340032 is about 10116.3250244345. The cubic root of 102340032 is about 467.7514934598.

Adding to 102340032 its reverse (230043201), we get a palindrome (332383233).

The spelling of 102340032 in words is "one hundred two million, three hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 89 96 106 113 159 178 192 212 226 267 318 339 356 424 452 534 636 678 712 848 904 1068 1272 1356 1424 1696 1808 2136 2544 2712 2848 3392 3616 4272 4717 5088 5424 5696 5989 7232 8544 9434 10057 10176 10848 11978 14151 17088 17967 18868 20114 21696 23956 28302 30171 35934 37736 40228 47912 56604 60342 71868 75472 80456 95824 113208 120684 143736 150944 160912 191648 226416 241368 287472 301888 321824 383296 452832 482736 533021 574944 643648 905664 965472 1066042 1149888 1599063 1930944 2132084 3198126 4264168 6396252 8528336 12792504 17056672 25585008 34113344 51170016 102340032