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305900490 = 23572296361
BaseRepresentation
bin10010001110111…
…010101111001010
3210022121100120210
4102032322233022
51111302303430
650204301550
710403053110
oct2216725712
9708540523
10305900490
11147744625
12865418b6
134b4b570c
142c8abab0
151bcc72b0
hex123babca

305900490 has 64 divisors (see below), whose sum is σ = 842837760. Its totient is φ = 69603840.

The previous prime is 305900479. The next prime is 305900509. The reversal of 305900490 is 94009503.

305900490 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44910 + ... + 51270.

It is an arithmetic number, because the mean of its divisors is an integer number (13169340).

Almost surely, 2305900490 is an apocalyptic number.

305900490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 305900490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421418880).

305900490 is an abundant number, since it is smaller than the sum of its proper divisors (536937270).

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

305900490 is a wasteful number, since it uses less digits than its factorization.

305900490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6607.

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 305900490 is about 17490.0111492246. The cubic root of 305900490 is about 673.7933559230.

Adding to 305900490 its reverse (94009503), we get a palindrome (399909993).

The spelling of 305900490 in words is "three hundred five million, nine hundred thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 229 458 687 1145 1374 1603 2290 3206 3435 4809 6361 6870 8015 9618 12722 16030 19083 24045 31805 38166 44527 48090 63610 89054 95415 133581 190830 222635 267162 445270 667905 1335810 1456669 2913338 4370007 7283345 8740014 10196683 14566690 20393366 21850035 30590049 43700070 50983415 61180098 101966830 152950245 305900490