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353052020 = 22517652601
BaseRepresentation
bin10101000010110…
…010010101110100
3220121022220022202
4111002302111310
51210340131040
655011044032
711514615116
oct2502622564
9817286282
10353052020
1117131a232
129a2a0618
13581b4429
1434c633b6
1520edd015
hex150b2574

353052020 has 12 divisors (see below), whose sum is σ = 741409284. Its totient is φ = 141220800.

The previous prime is 353051983. The next prime is 353052097. The reversal of 353052020 is 20250353.

It can be written as a sum of positive squares in 2 ways, for example, as 145057936 + 207994084 = 12044^2 + 14422^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 17652601 = 353052020 / (3 + 5 + 3 + 0 + 5 + 2 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 353051983 and 353052001.

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 3 ways as a sum of consecutive naturals, for example, 8826281 + ... + 8826320.

It is an arithmetic number, because the mean of its divisors is an integer number (61784107).

Almost surely, 2353052020 is an apocalyptic number.

It is an amenable number.

353052020 is an abundant number, since it is smaller than the sum of its proper divisors (388357264).

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

353052020 is a wasteful number, since it uses less digits than its factorization.

353052020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17652610 (or 17652608 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 353052020 is about 18789.6785496719. The cubic root of 353052020 is about 706.7723760023.

The spelling of 353052020 in words is "three hundred fifty-three million, fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 17652601 35305202 70610404 88263005 176526010 353052020