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441316920 = 233511334331
BaseRepresentation
bin11010010011011…
…111011000111000
31010202102020000010
4122103133120320
51400434120140
6111442541520
713636063152
oct3223373070
91122366003
10441316920
11207125a30
121039678a0
1370579695
144287bad2
1528b25880
hex1a4df638

441316920 has 64 divisors (see below), whose sum is σ = 1444314240. Its totient is φ = 106985600.

The previous prime is 441316919. The next prime is 441316921. The reversal of 441316920 is 29613144.

It is an interprime number because it is at equal distance from previous prime (441316919) and next prime (441316921).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441316921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165846 + ... + 168485.

It is an arithmetic number, because the mean of its divisors is an integer number (22567410).

Almost surely, 2441316920 is an apocalyptic number.

441316920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441316920 is an abundant number, since it is smaller than the sum of its proper divisors (1002997320).

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

441316920 is a wasteful number, since it uses less digits than its factorization.

441316920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334356 (or 334352 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 441316920 is about 21007.5443591106. The cubic root of 441316920 is about 761.3485521444.

The spelling of 441316920 in words is "four hundred forty-one million, three hundred sixteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 334331 668662 1002993 1337324 1671655 2005986 2674648 3343310 3677641 4011972 5014965 6686620 7355282 8023944 10029930 11032923 13373240 14710564 18388205 20059860 22065846 29421128 36776410 40119720 44131692 55164615 73552820 88263384 110329230 147105640 220658460 441316920