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306023480 = 23573972753
BaseRepresentation
bin10010001111011…
…000110000111000
3210022211121021222
4102033120300320
51111320222410
650211051212
710404104510
oct2217306070
9708747258
10306023480
11147818a74
12865a0b08
134b5296a9
142c900840
151bced955
hex123d8c38

306023480 has 64 divisors (see below), whose sum is σ = 789186240. Its totient is φ = 104620032.

The previous prime is 306023479. The next prime is 306023483. The reversal of 306023480 is 84320603.

It is a super-2 number, since 2×3060234802 = 187300740622620800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306023483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109784 + ... + 112536.

It is an arithmetic number, because the mean of its divisors is an integer number (12331035).

Almost surely, 2306023480 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 306023480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394593120).

306023480 is an abundant number, since it is smaller than the sum of its proper divisors (483162760).

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

306023480 is a wasteful number, since it uses less digits than its factorization.

306023480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168 (or 3164 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 306023480 is about 17493.5268027919. The cubic root of 306023480 is about 673.8836453514.

The spelling of 306023480 in words is "three hundred six million, twenty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 397 794 1588 1985 2753 2779 3176 3970 5506 5558 7940 11012 11116 13765 13895 15880 19271 22024 22232 27530 27790 38542 55060 55580 77084 96355 110120 111160 154168 192710 385420 770840 1092941 2185882 4371764 5464705 7650587 8743528 10929410 15301174 21858820 30602348 38252935 43717640 61204696 76505870 153011740 306023480