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123114340 = 22517973733
BaseRepresentation
bin1110101011010…
…01001101100100
322120122212010101
413111221031210
5223004124330
620114433444
73023311636
oct725511544
9276585111
10123114340
1163549698
1235292884
131c67762b
14124caa56
15ac1d4ca
hex7569364

123114340 has 48 divisors (see below), whose sum is σ = 276644592. Its totient is φ = 45858816.

The previous prime is 123114337. The next prime is 123114347. The reversal of 123114340 is 43411321.

It can be written as a sum of positive squares in 8 ways, for example, as 702244 + 122412096 = 838^2 + 11064^2 .

It is not an unprimeable number, because it can be changed into a prime (123114347) 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, 31114 + ... + 34846.

It is an arithmetic number, because the mean of its divisors is an integer number (5763429).

Almost surely, 2123114340 is an apocalyptic number.

123114340 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 123114340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138322296).

123114340 is an abundant number, since it is smaller than the sum of its proper divisors (153530252).

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

123114340 is a wasteful number, since it uses less digits than its factorization.

123114340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 123114340 is about 11095.6901542896. The cubic root of 123114340 is about 497.4730370984.

Adding to 123114340 its reverse (43411321), we get a palindrome (166525661).

The spelling of 123114340 in words is "one hundred twenty-three million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 97 170 194 340 388 485 970 1649 1940 3298 3733 6596 7466 8245 14932 16490 18665 32980 37330 63461 74660 126922 253844 317305 362101 634610 724202 1269220 1448404 1810505 3621010 6155717 7242020 12311434 24622868 30778585 61557170 123114340