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345528036 = 223272395737
BaseRepresentation
bin10100100110000…
…101011011100100
3220002011122100200
4110212011123210
51201423344121
654141510500
711363640240
oct2446053344
9802148320
10345528036
11168050367
1297872430
135677b879
1433c65420
1520503a26
hex149856e4

345528036 has 72 divisors (see below), whose sum is σ = 1002543360. Its totient is φ = 98292096.

The previous prime is 345527989. The next prime is 345528037. The reversal of 345528036 is 630825543.

It is a happy number.

345528036 is a `hidden beast` number, since 345 + 5 + 280 + 36 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (345528037) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 57360 + ... + 63096.

Almost surely, 2345528036 is an apocalyptic number.

345528036 is a gapful number since it is divisible by the number (36) 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 345528036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501271680).

345528036 is an abundant number, since it is smaller than the sum of its proper divisors (657015324).

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

345528036 is a wasteful number, since it uses less digits than its factorization.

345528036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5993 (or 5988 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 345528036 is about 18588.3844375997. The cubic root of 345528036 is about 701.7155445276.

The spelling of 345528036 in words is "three hundred forty-five million, five hundred twenty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 239 252 478 717 956 1434 1673 2151 2868 3346 4302 5019 5737 6692 8604 10038 11474 15057 17211 20076 22948 30114 34422 40159 51633 60228 68844 80318 103266 120477 160636 206532 240954 361431 481908 722862 1371143 1445724 2742286 4113429 5484572 8226858 9598001 12340287 16453716 19196002 24680574 28794003 38392004 49361148 57588006 86382009 115176012 172764018 345528036