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342739463040 = 27325132379929
BaseRepresentation
bin1001111110011001101…
…11010010101110000000
31012202200002202201001200
410333030313102232000
521103412300304130
6421241412101200
733522255240012
oct4771467225600
91182602681050
10342739463040
1112239a545487
1256512904800
1326421603c00
14128354961b2
158dae923760
hex4fccdd2b80

342739463040 has 576 divisors, whose sum is σ = 1286330058000. Its totient is φ = 84053458944.

The previous prime is 342739463039. The next prime is 342739463063. The reversal of 342739463040 is 40364937243.

342739463040 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 3 + 9 + 4 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 368933296 + ... + 368934224.

Almost surely, 2342739463040 is an apocalyptic number.

342739463040 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 342739463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643165029000).

342739463040 is an abundant number, since it is smaller than the sum of its proper divisors (943590594960).

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

342739463040 is a wasteful number, since it uses less digits than its factorization.

342739463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 342739463040 in words is "three hundred forty-two billion, seven hundred thirty-nine million, four hundred sixty-three thousand, forty".