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345575424 = 212328123
BaseRepresentation
bin10100100110010…
…001000000000000
3220002021001100210
4110212101000000
51201431403144
654142514120
711364225345
oct2446210000
9802231323
10345575424
11168082a27
1297895940
13567972cc
1433c787cc
1520512ab9
hex14991000

345575424 has 52 divisors (see below), whose sum is σ = 921454736. Its totient is φ = 115187712.

The previous prime is 345575413. The next prime is 345575459. The reversal of 345575424 is 424575543.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1774 + ... + 26349.

Almost surely, 2345575424 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 345575424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460727368).

345575424 is an abundant number, since it is smaller than the sum of its proper divisors (575879312).

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

345575424 is an equidigital number, since it uses as much as digits as its factorization.

345575424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28150 (or 28128 counting only the distinct ones).

The product of its digits is 336000, while the sum is 39.

The square root of 345575424 is about 18589.6590608865. The cubic root of 345575424 is about 701.7476223648.

The spelling of 345575424 in words is "three hundred forty-five million, five hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 12288 28123 56246 84369 112492 168738 224984 337476 449968 674952 899936 1349904 1799872 2699808 3599744 5399616 7199488 10799232 14398976 21598464 28797952 43196928 57595904 86393856 115191808 172787712 345575424