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123903234 = 232713671129
BaseRepresentation
bin1110110001010…
…01110100000010
322122010221021200
413120221310002
5223204400414
620143402030
73033105630
oct730516402
9278127250
10123903234
1163a38374
12355b3316
131c892730
1412654350
15ad27109
hex7629d02

123903234 has 96 divisors (see below), whose sum is σ = 335637120. Its totient is φ = 32161536.

The previous prime is 123903229. The next prime is 123903251. The reversal of 123903234 is 432309321.

It is a happy number.

It is a super-2 number, since 2×1239032342 = 30704022791317512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123903198 and 123903207.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109182 + ... + 110310.

It is an arithmetic number, because the mean of its divisors is an integer number (3496220).

Almost surely, 2123903234 is an apocalyptic number.

123903234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123903234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167818560).

123903234 is an abundant number, since it is smaller than the sum of its proper divisors (211733886).

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

123903234 is a wasteful number, since it uses less digits than its factorization.

123903234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 123903234 is about 11131.1829560025. The cubic root of 123903234 is about 498.5333474001.

The spelling of 123903234 in words is "one hundred twenty-three million, nine hundred three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 67 78 91 117 126 134 182 201 234 273 402 469 546 603 819 871 938 1129 1206 1407 1638 1742 2258 2613 2814 3387 4221 5226 6097 6774 7839 7903 8442 10161 12194 14677 15678 15806 18291 20322 23709 29354 36582 44031 47418 54873 71127 75643 88062 102739 109746 132093 142254 151286 205478 226929 264186 308217 453858 529501 616434 680787 924651 983359 1059002 1361574 1588503 1849302 1966718 2950077 3177006 4765509 5900154 6883513 8850231 9531018 13767026 17700462 20650539 41301078 61951617 123903234