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303242940 = 2234571121317
BaseRepresentation
bin10010000100110…
…001111010111100
3210010121100010000
4102010301322330
51110112233230
650031314300
710341344130
oct2204617274
9703540100
10303242940
11146199a00
128567b990
134aa94bc0
142c3b93c0
151b94eb60
hex12131ebc

303242940 has 720 divisors, whose sum is σ = 1362626496. Its totient is φ = 54743040.

The previous prime is 303242939. The next prime is 303242941. The reversal of 303242940 is 49242303.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (303242939) and next prime (303242941).

It is a super-4 number, since 4×3032429404 (a number of 35 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303242941) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17837812 + ... + 17837828.

Almost surely, 2303242940 is an apocalyptic number.

303242940 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 303242940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681313248).

303242940 is an abundant number, since it is smaller than the sum of its proper divisors (1059383556).

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

303242940 is a wasteful number, since it uses less digits than its factorization.

303242940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 303242940 is about 17413.8720564956. The cubic root of 303242940 is about 671.8364557373.

The spelling of 303242940 in words is "three hundred three million, two hundred forty-two thousand, nine hundred forty".