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342599040 = 27325729293
BaseRepresentation
bin10100011010111…
…010010110000000
3212212122211112100
4110122322112000
51200201132130
653555030400
711330021010
oct2432722600
9785584470
10342599040
1116642a803
129689b400
1355c94634
1433701c40
1520125c60
hex146ba580

342599040 has 384 divisors, whose sum is σ = 1403438400. Its totient is φ = 75350016.

The previous prime is 342599039. The next prime is 342599041. The reversal of 342599040 is 40995243.

It is an interprime number because it is at equal distance from previous prime (342599039) and next prime (342599041).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 342598986 and 342599004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342599041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1169134 + ... + 1169426.

Almost surely, 2342599040 is an apocalyptic number.

342599040 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 342599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701719200).

342599040 is an abundant number, since it is smaller than the sum of its proper divisors (1060839360).

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

342599040 is a wasteful number, since it uses less digits than its factorization.

342599040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 342599040 is about 18509.4311095722. The cubic root of 342599040 is about 699.7271317418.

The spelling of 342599040 in words is "three hundred forty-two million, five hundred ninety-nine thousand, forty".