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102345404 = 22737223443
BaseRepresentation
bin1100001100110…
…10101010111100
321010120200111112
412012122222330
5202200023104
614053341152
72351631050
oct606325274
9233520445
10102345404
1152853687
122a3377b8
1318285215
14d841c60
158eb986e
hex619aabc

102345404 has 48 divisors (see below), whose sum is σ = 211642368. Its totient is φ = 42389568.

The previous prime is 102345401. The next prime is 102345407. The reversal of 102345404 is 404543201.

It is an interprime number because it is at equal distance from previous prime (102345401) and next prime (102345407).

It is a self number, because there is not a number n which added to its sum of digits gives 102345404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102345401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230807 + ... + 231249.

It is an arithmetic number, because the mean of its divisors is an integer number (4409216).

Almost surely, 2102345404 is an apocalyptic number.

102345404 is a gapful number since it is divisible by the number (14) 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 102345404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105821184).

102345404 is an abundant number, since it is smaller than the sum of its proper divisors (109296964).

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

102345404 is a wasteful number, since it uses less digits than its factorization.

102345404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 102345404 is about 10116.5905323879. The cubic root of 102345404 is about 467.7596776702.

Adding to 102345404 its reverse (404543201), we get a palindrome (506888605).

The spelling of 102345404 in words is "one hundred two million, three hundred forty-five thousand, four hundred four".

Divisors: 1 2 4 7 14 28 37 74 148 223 259 443 446 518 886 892 1036 1561 1772 3101 3122 6202 6244 8251 12404 16391 16502 32782 33004 57757 65564 98789 114737 115514 197578 229474 231028 395156 458948 691523 1383046 2766092 3655193 7310386 14620772 25586351 51172702 102345404