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444712440 = 233513672711
BaseRepresentation
bin11010100000011…
…100010111111000
31010222210201210010
4122200130113320
51402321244230
6112043421520
714006664504
oct3240342770
91128721703
10444712440
11209035047
12104b248a0
1371198073
14430c3304
15290969b0
hex1a81c5f8

444712440 has 64 divisors (see below), whose sum is σ = 1335605760. Its totient is φ = 118459520.

The previous prime is 444712439. The next prime is 444712447. The reversal of 444712440 is 44217444.

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

It is a junction number, because it is equal to n+sod(n) for n = 444712398 and 444712407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444712447) 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, 162685 + ... + 165395.

It is an arithmetic number, because the mean of its divisors is an integer number (20868840).

Almost surely, 2444712440 is an apocalyptic number.

444712440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444712440 is an abundant number, since it is smaller than the sum of its proper divisors (890893320).

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

444712440 is a wasteful number, since it uses less digits than its factorization.

444712440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4092 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 30.

The square root of 444712440 is about 21088.2061826036. The cubic root of 444712440 is about 763.2961867132.

Adding to 444712440 its reverse (44217444), we get a palindrome (488929884).

The spelling of 444712440 in words is "four hundred forty-four million, seven hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1367 2711 2734 4101 5422 5468 6835 8133 8202 10844 10936 13555 13670 16266 16404 20505 21688 27110 27340 32532 32808 40665 41010 54220 54680 65064 81330 82020 108440 162660 164040 325320 3705937 7411874 11117811 14823748 18529685 22235622 29647496 37059370 44471244 55589055 74118740 88942488 111178110 148237480 222356220 444712440