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305945420 = 225114193319
BaseRepresentation
bin10010001111000…
…101101101001100
3210022200122012212
4102033011231030
51111310223140
650205245552
710403331104
oct2217055514
9708618185
10305945420
11147775360
12865638b8
134b4cccc1
142c8c0204
151bcd5765
hex123c5b4c

305945420 has 48 divisors (see below), whose sum is σ = 702777600. Its totient is φ = 110953920.

The previous prime is 305945407. The next prime is 305945441. The reversal of 305945420 is 24549503.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90521 + ... + 93839.

It is an arithmetic number, because the mean of its divisors is an integer number (14641200).

Almost surely, 2305945420 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 305945420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351388800).

305945420 is an abundant number, since it is smaller than the sum of its proper divisors (396832180).

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

305945420 is a wasteful number, since it uses less digits than its factorization.

305945420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 305945420 is about 17491.2955495012. The cubic root of 305945420 is about 673.8263427433.

The spelling of 305945420 in words is "three hundred five million, nine hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 419 838 1676 2095 3319 4190 4609 6638 8380 9218 13276 16595 18436 23045 33190 36509 46090 66380 73018 92180 146036 182545 365090 730180 1390661 2781322 5562644 6953305 13906610 15297271 27813220 30594542 61189084 76486355 152972710 305945420