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123203934 = 23272413407
BaseRepresentation
bin1110101011111…
…11000101011110
322120211102000200
413111333011132
5223020011214
620120404330
73024134100
oct725770536
9276742020
10123203934
11635aaa37
12353166a6
131c6a9349
1412511570
15ac39d09
hex757f15e

123203934 has 72 divisors (see below), whose sum is σ = 318191328. Its totient is φ = 34332480.

The previous prime is 123203933. The next prime is 123203953. The reversal of 123203934 is 439302321.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123203898 and 123203907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123203933) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34459 + ... + 37865.

It is an arithmetic number, because the mean of its divisors is an integer number (4419324).

Almost surely, 2123203934 is an apocalyptic number.

123203934 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 123203934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159095664).

123203934 is an abundant number, since it is smaller than the sum of its proper divisors (194987394).

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

123203934 is a wasteful number, since it uses less digits than its factorization.

123203934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3470 (or 3460 counting only the distinct ones).

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

The square root of 123203934 is about 11099.7267533935. The cubic root of 123203934 is about 497.5936831901.

The spelling of 123203934 in words is "one hundred twenty-three million, two hundred three thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 49 63 82 98 123 126 147 246 287 294 369 441 574 738 861 882 1722 2009 2583 3407 4018 5166 6027 6814 10221 12054 18081 20442 23849 30663 36162 47698 61326 71547 139687 143094 166943 214641 279374 333886 419061 429282 500829 838122 977809 1001658 1257183 1502487 1955618 2514366 2933427 3004974 5866854 6844663 8800281 13689326 17600562 20533989 41067978 61601967 123203934