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44293320 = 23325612017
BaseRepresentation
bin1010100011110…
…1110011001000
310002100100000100
42220331303020
542314341240
64221205400
71045326021
oct250756310
9102310010
1044293320
1123003255
1212a00860
13923aa86
145c4dc48
153d4de30
hex2a3dcc8

44293320 has 96 divisors (see below), whose sum is σ = 146385720. Its totient is φ = 11612160.

The previous prime is 44293309. The next prime is 44293321. The reversal of 44293320 is 2339244.

It is a happy number.

44293320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 31203396 + 13089924 = 5586^2 + 3618^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (44293321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20952 + ... + 22968.

Almost surely, 244293320 is an apocalyptic number.

44293320 is a gapful number since it is divisible by the number (40) 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 44293320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73192860).

44293320 is an abundant number, since it is smaller than the sum of its proper divisors (102092400).

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

44293320 is a wasteful number, since it uses less digits than its factorization.

44293320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 44293320 is about 6655.3226818840. The cubic root of 44293320 is about 353.8175829289.

The spelling of 44293320 in words is "forty-four million, two hundred ninety-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2017 2196 2440 2745 3660 4034 4392 5490 6051 7320 8068 10085 10980 12102 16136 18153 20170 21960 24204 30255 36306 40340 48408 60510 72612 80680 90765 121020 123037 145224 181530 242040 246074 363060 369111 492148 615185 726120 738222 984296 1107333 1230370 1476444 1845555 2214666 2460740 2952888 3691110 4429332 4921480 5536665 7382220 8858664 11073330 14764440 22146660 44293320