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3022400430 = 2325743111131
BaseRepresentation
bin1011010000100110…
…0010101110101110
321210122011211221200
42310021202232232
522142213303210
61215524310330
7134616660030
oct26411425656
97718154850
103022400430
1113110801a5
127042423a6
1339222842a
14209597c50
1512a51b0c0
hexb4262bae

3022400430 has 96 divisors (see below), whose sum is σ = 9002492928. Its totient is φ = 689169600.

The previous prime is 3022400411. The next prime is 3022400443. The reversal of 3022400430 is 340042203.

3022400430 is digitally balanced in base 2, 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265965 + ... + 277095.

It is an arithmetic number, because the mean of its divisors is an integer number (93775968).

Almost surely, 23022400430 is an apocalyptic number.

3022400430 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 3022400430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4501246464).

3022400430 is an abundant number, since it is smaller than the sum of its proper divisors (5980092498).

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

3022400430 is a wasteful number, since it uses less digits than its factorization.

3022400430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11582 (or 11579 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3022400430 is about 54976.3624660635. The cubic root of 3022400430 is about 1445.8303405682.

Adding to 3022400430 its reverse (340042203), we get a palindrome (3362442633).

The spelling of 3022400430 in words is "three billion, twenty-two million, four hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 431 630 862 1293 2155 2586 3017 3879 4310 6034 6465 7758 9051 11131 12930 15085 18102 19395 22262 27153 30170 33393 38790 45255 54306 55655 66786 77917 90510 100179 111310 135765 155834 166965 200358 233751 271530 333930 389585 467502 500895 701253 779170 1001790 1168755 1402506 2337510 3506265 4797461 7012530 9594922 14392383 23987305 28784766 33582227 43177149 47974610 67164454 71961915 86354298 100746681 143923830 167911135 201493362 215885745 302240043 335822270 431771490 503733405 604480086 1007466810 1511200215 3022400430