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305000640 = 263457412
BaseRepresentation
bin10010001011011…
…111000011000000
3210020220122020000
4102023133003000
51111040010030
650133120000
710362314460
oct2213370300
9706818200
10305000640
1114718a54a
1286189000
134b25bc69
142c715ba0
151bb9a860
hex122df0c0

305000640 has 420 divisors, whose sum is σ = 1270912368. Its totient is φ = 68014080.

The previous prime is 305000623. The next prime is 305000653. The reversal of 305000640 is 46000503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7439020 + ... + 7439060.

Almost surely, 2305000640 is an apocalyptic number.

305000640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635456184).

305000640 is an abundant number, since it is smaller than the sum of its proper divisors (965911728).

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

305000640 is an equidigital number, since it uses as much as digits as its factorization.

305000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 305000640 is about 17464.2675197101. The cubic root of 305000640 is about 673.1320205505.

The spelling of 305000640 in words is "three hundred five million, six hundred forty", and thus it is an aban number.