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305090064 = 24341511559
BaseRepresentation
bin10010001011110…
…100111000010000
3210021002011220000
4102023310320100
51111100340224
650135050000
710363136256
oct2213647020
9707064800
10305090064
11147240754
1286210900
134b290886
142c73a5d6
151bbb70c9
hex122f4e10

305090064 has 100 divisors (see below), whose sum is σ = 889437120. Its totient is φ = 100958400.

The previous prime is 305090057. The next prime is 305090077. The reversal of 305090064 is 460090503.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 194917 + ... + 196475.

Almost surely, 2305090064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305090064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444718560).

305090064 is an abundant number, since it is smaller than the sum of its proper divisors (584347056).

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

305090064 is a wasteful number, since it uses less digits than its factorization.

305090064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 305090064 is about 17466.8275310659. The cubic root of 305090064 is about 673.1977999490.

The spelling of 305090064 in words is "three hundred five million, ninety thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 151 162 216 302 324 432 453 604 648 906 1208 1296 1359 1559 1812 2416 2718 3118 3624 4077 4677 5436 6236 7248 8154 9354 10872 12231 12472 14031 16308 18708 21744 24462 24944 28062 32616 37416 42093 48924 56124 65232 74832 84186 97848 112248 126279 168372 195696 224496 235409 252558 336744 470818 505116 673488 706227 941636 1010232 1412454 1883272 2020464 2118681 2824908 3766544 4237362 5649816 6356043 8474724 11299632 12712086 16949448 19068129 25424172 33898896 38136258 50848344 76272516 101696688 152545032 305090064