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342399960 = 23345731487
BaseRepresentation
bin10100011010001…
…001101111011000
3212212021201110000
4110122021233120
51200123244320
653550453000
711325231420
oct2432115730
9785251400
10342399960
11166304181
1296804160
1355c24b36
143368d480
15200d6c90
hex14689bd8

342399960 has 320 divisors, whose sum is σ = 1360465920. Its totient is φ = 75582720.

The previous prime is 342399947. The next prime is 342399973. The reversal of 342399960 is 69993243.

342399960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (342399947) and next prime (342399973).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 702837 + ... + 703323.

It is an arithmetic number, because the mean of its divisors is an integer number (4251456).

Almost surely, 2342399960 is an apocalyptic number.

342399960 is a gapful number since it is divisible by the number (30) 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 342399960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680232960).

342399960 is an abundant number, since it is smaller than the sum of its proper divisors (1018065960).

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

342399960 is a wasteful number, since it uses less digits than its factorization.

342399960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 342399960 is about 18504.0525291083. The cubic root of 342399960 is about 699.5915712644.

The spelling of 342399960 in words is "three hundred forty-two million, three hundred ninety-nine thousand, nine hundred sixty".