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484341144 = 233714931931
BaseRepresentation
bin11100110111100…
…111010110011000
31020202101002010220
4130313213112120
51442442404034
6120021040040
715000555210
oct3467472630
91222332126
10484341144
11229441741
12116256020
13794618c1
144847b240
152c7c3749
hex1cde7598

484341144 has 64 divisors (see below), whose sum is σ = 1385475840. Its totient is φ = 138218880.

The previous prime is 484341139. The next prime is 484341149. The reversal of 484341144 is 441143484.

It is an interprime number because it is at equal distance from previous prime (484341139) and next prime (484341149).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484341149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249859 + ... + 251789.

It is an arithmetic number, because the mean of its divisors is an integer number (21648060).

Almost surely, 2484341144 is an apocalyptic number.

It is an amenable number.

484341144 is an abundant number, since it is smaller than the sum of its proper divisors (901134696).

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

484341144 is a wasteful number, since it uses less digits than its factorization.

484341144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 3436 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 484341144 is about 22007.7519069986. The cubic root of 484341144 is about 785.3268651088.

The spelling of 484341144 in words is "four hundred eighty-four million, three hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1493 1931 2986 3862 4479 5793 5972 7724 8958 10451 11586 11944 13517 15448 17916 20902 23172 27034 31353 35832 40551 41804 46344 54068 62706 81102 83608 108136 125412 162204 250824 324408 2882983 5765966 8648949 11531932 17297898 20180881 23063864 34595796 40361762 60542643 69191592 80723524 121085286 161447048 242170572 484341144