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102345312 = 2536117477
BaseRepresentation
bin1100001100110…
…10101001100000
321010120200101010
412012122221200
5202200022222
614053340520
72351630556
oct606325140
9233520333
10102345312
1152853603
122a337740
1318285174
14d841bd6
158eb980c
hex619aa60

102345312 has 48 divisors (see below), whose sum is σ = 273076272. Its totient is φ = 33553920.

The previous prime is 102345301. The next prime is 102345319. The reversal of 102345312 is 213543201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102345319) 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 7 ways as a sum of consecutive naturals, for example, 2883 + ... + 14594.

It is an arithmetic number, because the mean of its divisors is an integer number (5689089).

Almost surely, 2102345312 is an apocalyptic number.

102345312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102345312 is an abundant number, since it is smaller than the sum of its proper divisors (170730960).

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

102345312 is a wasteful number, since it uses less digits than its factorization.

102345312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17551 (or 17543 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 102345312 is about 10116.5859854004. The cubic root of 102345312 is about 467.7595375111.

Adding to 102345312 its reverse (213543201), we get a palindrome (315888513).

The spelling of 102345312 in words is "one hundred two million, three hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 17477 34954 52431 69908 104862 139816 209724 279632 419448 559264 838896 1066097 1677792 2132194 3198291 4264388 6396582 8528776 12793164 17057552 25586328 34115104 51172656 102345312