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123230340 = 223253591907
BaseRepresentation
bin1110101100001…
…01100010000100
322120212202020200
413112011202010
5223021332330
620121130500
73024304062
oct726054204
9276782220
10123230340
1163618862
1235329a30
131c6b837c
141251b032
15ac42a60
hex7585884

123230340 has 72 divisors (see below), whose sum is σ = 375036480. Its totient is φ = 32752704.

The previous prime is 123230339. The next prime is 123230407. The reversal of 123230340 is 43032321.

123230340 is a `hidden beast` number, since 1 + 2 + 323 + 0 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 63667 + ... + 65573.

It is an arithmetic number, because the mean of its divisors is an integer number (5208840).

Almost surely, 2123230340 is an apocalyptic number.

123230340 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 123230340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187518240).

123230340 is an abundant number, since it is smaller than the sum of its proper divisors (251806140).

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

123230340 is a wasteful number, since it uses less digits than its factorization.

123230340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 123230340 is about 11100.9161784062. The cubic root of 123230340 is about 497.6292299993.

Adding to 123230340 its reverse (43032321), we get a palindrome (166262661).

The spelling of 123230340 in words is "one hundred twenty-three million, two hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 359 718 1077 1436 1795 1907 2154 3231 3590 3814 4308 5385 5721 6462 7180 7628 9535 10770 11442 12924 16155 17163 19070 21540 22884 28605 32310 34326 38140 57210 64620 68652 85815 114420 171630 343260 684613 1369226 2053839 2738452 3423065 4107678 6161517 6846130 8215356 10269195 12323034 13692260 20538390 24646068 30807585 41076780 61615170 123230340