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440342112 = 25371374783
BaseRepresentation
bin11010001111110…
…001011001100000
31010200120200211010
4122033301121200
51400211421422
6111410020520
713624563150
oct3217613140
91120520733
10440342112
1120661a601
12103577740
13702c7a82
14426a6760
15289d1b0c
hex1a3f1660

440342112 has 96 divisors (see below), whose sum is σ = 1330947072. Its totient is φ = 124867584.

The previous prime is 440342099. The next prime is 440342113. The reversal of 440342112 is 211243044.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440342113) 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, 89673 + ... + 94455.

It is an arithmetic number, because the mean of its divisors is an integer number (13864032).

Almost surely, 2440342112 is an apocalyptic number.

440342112 is a gapful number since it is divisible by the number (42) 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 440342112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665473536).

440342112 is an abundant number, since it is smaller than the sum of its proper divisors (890604960).

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

440342112 is a wasteful number, since it uses less digits than its factorization.

440342112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4940 (or 4932 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 440342112 is about 20984.3301537123. The cubic root of 440342112 is about 760.7875677009.

Adding to 440342112 its reverse (211243044), we get a palindrome (651585156).

The spelling of 440342112 in words is "four hundred forty million, three hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 137 168 224 274 336 411 548 672 822 959 1096 1644 1918 2192 2877 3288 3836 4384 4783 5754 6576 7672 9566 11508 13152 14349 15344 19132 23016 28698 30688 33481 38264 46032 57396 66962 76528 92064 100443 114792 133924 153056 200886 229584 267848 401772 459168 535696 655271 803544 1071392 1310542 1607088 1965813 2621084 3214176 3931626 4586897 5242168 7863252 9173794 10484336 13760691 15726504 18347588 20968672 27521382 31453008 36695176 55042764 62906016 73390352 110085528 146780704 220171056 440342112