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355380640 = 2552221129
BaseRepresentation
bin10101001011101…
…010110110100000
3220202201012120221
4111023222312200
51211434140030
655133012424
711543454106
oct2513526640
9822635527
10355380640
1117266a80a
129b024114
135881b304
14352abc76
15212ece7a
hex152eada0

355380640 has 24 divisors (see below), whose sum is σ = 839587140. Its totient is φ = 142152192.

The previous prime is 355380637. The next prime is 355380653. The reversal of 355380640 is 46083553.

It can be written as a sum of positive squares in 2 ways, for example, as 291316624 + 64064016 = 17068^2 + 8004^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 355380596 and 355380605.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1110405 + ... + 1110724.

Almost surely, 2355380640 is an apocalyptic number.

It is an amenable number.

355380640 is an abundant number, since it is smaller than the sum of its proper divisors (484206500).

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

355380640 is a wasteful number, since it uses less digits than its factorization.

355380640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221144 (or 2221136 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 355380640 is about 18851.5421119865. The cubic root of 355380640 is about 708.3228548700.

The spelling of 355380640 in words is "three hundred fifty-five million, three hundred eighty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2221129 4442258 8884516 11105645 17769032 22211290 35538064 44422580 71076128 88845160 177690320 355380640