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345002064 = 24311719203
BaseRepresentation
bin10100100100000…
…101000001010000
3220001011220212020
4110210011001100
51201310031224
654122331440
711356316631
oct2444050120
9801156766
10345002064
11167821180
1297659b80
1356626344
1433b69888
152044cc79
hex14905050

345002064 has 80 divisors (see below), whose sum is σ = 986079744. Its totient is φ = 103062400.

The previous prime is 345002017. The next prime is 345002083. The reversal of 345002064 is 460200543.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32887 + ... + 42089.

Almost surely, 2345002064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345002064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493039872).

345002064 is an abundant number, since it is smaller than the sum of its proper divisors (641077680).

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

345002064 is a wasteful number, since it uses less digits than its factorization.

345002064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9296 (or 9290 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 345002064 is about 18574.2311819359. The cubic root of 345002064 is about 701.3593069972.

The spelling of 345002064 in words is "three hundred forty-five million, two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 132 142 176 213 264 284 426 528 568 781 852 1136 1562 1704 2343 3124 3408 4686 6248 9203 9372 12496 18406 18744 27609 36812 37488 55218 73624 101233 110436 147248 202466 220872 303699 404932 441744 607398 653413 809864 1214796 1306826 1619728 1960239 2429592 2613652 3920478 4859184 5227304 7187543 7840956 10454608 14375086 15681912 21562629 28750172 31363824 43125258 57500344 86250516 115000688 172501032 345002064