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345535320 = 233513221497
BaseRepresentation
bin10100100110000…
…111001101011000
3220002012000100110
4110212013031120
51201424112240
654142004320
711364000414
oct2446071530
9802160313
10345535320
11168055889
12978766a0
1356781c90
1433c67d44
1520505c80
hex14987358

345535320 has 64 divisors (see below), whose sum is σ = 1116349920. Its totient is φ = 85054464.

The previous prime is 345535301. The next prime is 345535339. The reversal of 345535320 is 23535543.

It is an interprime number because it is at equal distance from previous prime (345535301) and next prime (345535339).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109189 + ... + 112308.

Almost surely, 2345535320 is an apocalyptic number.

345535320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345535320 is an abundant number, since it is smaller than the sum of its proper divisors (770814600).

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

345535320 is a wasteful number, since it uses less digits than its factorization.

345535320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221524 (or 221520 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 30.

The square root of 345535320 is about 18588.5803653749. The cubic root of 345535320 is about 701.7204753963.

The spelling of 345535320 in words is "three hundred forty-five million, five hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 221497 442994 664491 885988 1107485 1328982 1771976 2214970 2657964 2879461 3322455 4429940 5315928 5758922 6644910 8638383 8859880 11517844 13289820 14397305 17276766 23035688 26579640 28794610 34553532 43191915 57589220 69107064 86383830 115178440 172767660 345535320