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123340240 = 2453741669
BaseRepresentation
bin1110101101000…
…00010111010000
322121002100000001
413112200113100
5223033341430
620123335344
73025242352
oct726402720
9277070001
10123340240
1163693391
1235381554
131c7263ba
14125490d2
15ac653ca
hex75a05d0

123340240 has 40 divisors (see below), whose sum is σ = 294523560. Its totient is φ = 48001536.

The previous prime is 123340201. The next prime is 123340271. The reversal of 123340240 is 42043321.

It can be written as a sum of positive squares in 4 ways, for example, as 14930496 + 108409744 = 3864^2 + 10412^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17875 + ... + 23794.

It is an arithmetic number, because the mean of its divisors is an integer number (7363089).

Almost surely, 2123340240 is an apocalyptic number.

123340240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123340240 is an abundant number, since it is smaller than the sum of its proper divisors (171183320).

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

123340240 is a wasteful number, since it uses less digits than its factorization.

123340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41719 (or 41713 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 123340240 is about 11105.8651171352. The cubic root of 123340240 is about 497.7771189109. Note that the first 3 decimals are identical.

Adding to 123340240 its reverse (42043321), we get a palindrome (165383561).

The spelling of 123340240 in words is "one hundred twenty-three million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 41669 83338 166676 208345 333352 416690 666704 833380 1541753 1666760 3083506 3333520 6167012 7708765 12334024 15417530 24668048 30835060 61670120 123340240