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4340500900 = 2252389111581
BaseRepresentation
bin1000000101011011…
…01100100110100100
3102012111102021212121
410002231230212210
532342132012100
61554411555324
7212363435401
oct40255544644
912174367777
104340500900
11192811062a
12a1175bb44
13542330038
142d266b2a8
151a60d451a
hex102b6c9a4

4340500900 has 36 divisors (see below), whose sum is σ = 9443184660. Its totient is φ = 1731721600.

The previous prime is 4340500873. The next prime is 4340500909. The reversal of 4340500900 is 90050434.

It can be written as a sum of positive squares in 6 ways, for example, as 40551424 + 4299949476 = 6368^2 + 65574^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4340500909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16891 + ... + 94690.

It is an arithmetic number, because the mean of its divisors is an integer number (262310685).

Almost surely, 24340500900 is an apocalyptic number.

It is an amenable number.

4340500900 is an abundant number, since it is smaller than the sum of its proper divisors (5102683760).

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

4340500900 is a wasteful number, since it uses less digits than its factorization.

4340500900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111984 (or 111977 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 4340500900 is about 65882.4779436839. The cubic root of 4340500900 is about 1631.2228018150. Note that the first 3 decimals are identical.

The spelling of 4340500900 in words is "four billion, three hundred forty million, five hundred thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 389 778 1556 1945 3890 7780 9725 19450 38900 111581 223162 446324 557905 1115810 2231620 2789525 5579050 11158100 43405009 86810018 173620036 217025045 434050090 868100180 1085125225 2170250450 4340500900