Search a number
-
+
630304380 = 2232510333997
BaseRepresentation
bin100101100100011…
…010111001111100
31121221000210001200
4211210122321330
52242324220010
6142313335500
721422333046
oct4544327174
91557023050
10630304380
112a3877012
12157107590
13a0779294
145d9d4a96
153a506cc0
hex2591ae7c

630304380 has 72 divisors (see below), whose sum is σ = 1930542432. Its totient is φ = 166444416.

The previous prime is 630304379. The next prime is 630304403. The reversal of 630304380 is 83403036.

It is a super-2 number, since 2×6303043802 = 794567222894368800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1542 + ... + 35538.

Almost surely, 2630304380 is an apocalyptic number.

630304380 is a gapful number since it is divisible by the number (60) 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 630304380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965271216).

630304380 is an abundant number, since it is smaller than the sum of its proper divisors (1300238052).

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

630304380 is a wasteful number, since it uses less digits than its factorization.

630304380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34115 (or 34110 counting only the distinct ones).

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

The square root of 630304380 is about 25105.8634585628. The cubic root of 630304380 is about 857.3999259891.

The spelling of 630304380 in words is "six hundred thirty million, three hundred four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 3090 3708 4635 6180 9270 18540 33997 67994 101991 135988 169985 203982 305973 339970 407964 509955 611946 679940 1019910 1223892 1529865 2039820 3059730 3501691 6119460 7003382 10505073 14006764 17508455 21010146 31515219 35016910 42020292 52525365 63030438 70033820 105050730 126060876 157576095 210101460 315152190 630304380