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103256340 = 2235111011549
BaseRepresentation
bin1100010011110…
…01000100010100
321012021222001220
412021321010110
5202413200330
614125050340
72362443615
oct611710424
9235258056
10103256340
1153316020
122a6b69b0
1318513a35
14d9dbc0c
1590e9710
hex6279114

103256340 has 96 divisors (see below), whose sum is σ = 318729600. Its totient is φ = 24768000.

The previous prime is 103256339. The next prime is 103256341. The reversal of 103256340 is 43652301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103256339) and next prime (103256341).

It is a self number, because there is not a number n which added to its sum of digits gives 103256340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103256341) 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 31 ways as a sum of consecutive naturals, for example, 65886 + ... + 67434.

It is an arithmetic number, because the mean of its divisors is an integer number (3320100).

Almost surely, 2103256340 is an apocalyptic number.

103256340 is a gapful number since it is divisible by the number (10) 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 103256340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159364800).

103256340 is an abundant number, since it is smaller than the sum of its proper divisors (215473260).

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

103256340 is a wasteful number, since it uses less digits than its factorization.

103256340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 103256340 is about 10161.5126826669. The cubic root of 103256340 is about 469.1433618982.

The spelling of 103256340 in words is "one hundred three million, two hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 1549 2020 2222 3030 3098 3333 4444 4647 5555 6060 6196 6666 7745 9294 11110 13332 15490 16665 17039 18588 22220 23235 30980 33330 34078 46470 51117 66660 68156 85195 92940 102234 156449 170390 204468 255585 312898 340780 469347 511170 625796 782245 938694 1022340 1564490 1720939 1877388 2346735 3128980 3441878 4693470 5162817 6883756 8604695 9386940 10325634 17209390 20651268 25814085 34418780 51628170 103256340