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345006064 = 24132127591
BaseRepresentation
bin10100100100000…
…101111111110000
3220001012010100101
4110210011333300
51201310143224
654122402144
711356334404
oct2444057760
9801163311
10345006064
11167824187
1297660354
1356628100
1433b6b104
152044e044
hex14905ff0

345006064 has 30 divisors (see below), whose sum is σ = 723829416. Its totient is φ = 159232320.

The previous prime is 345006061. The next prime is 345006083. The reversal of 345006064 is 460600543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345006061) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61092 + ... + 66499.

Almost surely, 2345006064 is an apocalyptic number.

It is an amenable number.

345006064 is an abundant number, since it is smaller than the sum of its proper divisors (378823352).

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

345006064 is a wasteful number, since it uses less digits than its factorization.

345006064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127625 (or 127606 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 345006064 is about 18574.3388576821. The cubic root of 345006064 is about 701.3620175378.

The spelling of 345006064 in words is "three hundred forty-five million, six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 127591 255182 510364 1020728 1658683 2041456 3317366 6634732 13269464 21562879 26538928 43125758 86251516 172503032 345006064