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350064100 = 225218712
BaseRepresentation
bin10100110111011…
…000110111100100
3220101201002200001
4110313120313210
51204104022400
654423031044
711450332021
oct2467306744
9811632601
10350064100
1116a669381
129929b484
13576a9429
14346c6548
1520aeca6a
hex14dd8de4

350064100 has 27 divisors (see below), whose sum is σ = 760045321. Its totient is φ = 139950800.

The previous prime is 350064097. The next prime is 350064103. The reversal of 350064100 is 1460053.

The square root of 350064100 is 18710.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (350064097) and next prime (350064103).

It can be written as a sum of positive squares in only one way, i.e., 126023076 + 224041024 = 11226^2 + 14968^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (350064103) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 186165 + ... + 188035.

Almost surely, 2350064100 is an apocalyptic number.

350064100 is the 18710-th square number.

It is an amenable number.

350064100 is an abundant number, since it is smaller than the sum of its proper divisors (409981221).

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

350064100 is an equidigital number, since it uses as much as digits as its factorization.

350064100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3756 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The cubic root of 350064100 is about 704.7728926612.

It can be divided in two parts, 3500 and 64100, that added together give a square (67600 = 2602).

The spelling of 350064100 in words is "three hundred fifty million, sixty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1871 3742 7484 9355 18710 37420 46775 93550 187100 3500641 7001282 14002564 17503205 35006410 70012820 87516025 175032050 350064100