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354052000 = 255388513
BaseRepresentation
bin10101000110100…
…110011110100000
3220200012201001001
4111012212132200
51211114131000
655044321344
711526251401
oct2506463640
9820181031
10354052000
11171942565
129a6a3254
1358474633
14350439a8
152113946a
hex151a67a0

354052000 has 48 divisors (see below), whose sum is σ = 869915592. Its totient is φ = 141619200.

The previous prime is 354051983. The next prime is 354052007. The reversal of 354052000 is 250453.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 172449424 + 181602576 = 13132^2 + 13476^2 .

It is not an unprimeable number, because it can be changed into a prime (354052007) 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 7 ways as a sum of consecutive naturals, for example, 40257 + ... + 48256.

Almost surely, 2354052000 is an apocalyptic number.

It is an amenable number.

354052000 is an abundant number, since it is smaller than the sum of its proper divisors (515863592).

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

354052000 is an equidigital number, since it uses as much as digits as its factorization.

354052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88538 (or 88520 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 354052000 is about 18816.2695558923. The cubic root of 354052000 is about 707.4390313180.

The spelling of 354052000 in words is "three hundred fifty-four million, fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 88513 177026 354052 442565 708104 885130 1416208 1770260 2212825 2832416 3540520 4425650 7081040 8851300 11064125 14162080 17702600 22128250 35405200 44256500 70810400 88513000 177026000 354052000