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4630334364 = 2232377094903
BaseRepresentation
bin1000100111111110…
…10100101110011100
3102221200210100122100
410103333110232130
533440331144424
62043244045100
7222513123045
oct42377245634
912850710570
104630334364
111a66780817
12a92833790
1358a3ab526
1431cd558cc
151c1785dc9
hex113fd4b9c

4630334364 has 72 divisors (see below), whose sum is σ = 12040202720. Its totient is φ = 1499306112.

The previous prime is 4630334321. The next prime is 4630334383. The reversal of 4630334364 is 4634330364.

4630334364 is a `hidden beast` number, since 4 + 6 + 303 + 343 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 941937 + ... + 946839.

Almost surely, 24630334364 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 4630334364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6020101360).

4630334364 is an abundant number, since it is smaller than the sum of its proper divisors (7409868356).

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

4630334364 is a wasteful number, since it uses less digits than its factorization.

4630334364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5659 (or 5654 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

The square root of 4630334364 is about 68046.5602657475. The cubic root of 4630334364 is about 1666.7512305004.

The spelling of 4630334364 in words is "four billion, six hundred thirty million, three hundred thirty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 709 1332 1418 2127 2836 4254 4903 6381 8508 9806 12762 14709 19612 25524 26233 29418 44127 52466 58836 78699 88254 104932 157398 176508 181411 236097 314796 362822 472194 544233 725644 944388 1088466 1632699 2176932 3265398 3476227 6530796 6952454 10428681 13904908 20857362 31286043 41714724 62572086 125144172 128620399 257240798 385861197 514481596 771722394 1157583591 1543444788 2315167182 4630334364