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44240640 = 283541281
BaseRepresentation
bin1010100011000…
…0111100000000
310002020122202020
42220300330000
542311200030
64220121440
71045016313
oct250607400
9102218666
1044240640
1122a77714
1212996280
13921cac2
145c3897a
153d3d510
hex2a30f00

44240640 has 144 divisors (see below), whose sum is σ = 145254816. Its totient is φ = 11468800.

The previous prime is 44240629. The next prime is 44240653. The reversal of 44240640 is 4604244.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 44240640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157300 + ... + 157580.

It is an arithmetic number, because the mean of its divisors is an integer number (1008714).

Almost surely, 244240640 is an apocalyptic number.

44240640 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 44240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72627408).

44240640 is an abundant number, since it is smaller than the sum of its proper divisors (101014176).

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

44240640 is a wasteful number, since it uses less digits than its factorization.

44240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 44240640 is about 6651.3637699347. The cubic root of 44240640 is about 353.6772569942.

Adding to 44240640 its reverse (4604244), we get a palindrome (48844884).

The spelling of 44240640 in words is "forty-four million, two hundred forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 256 281 320 328 384 410 480 492 562 615 640 656 768 820 843 960 984 1124 1230 1280 1312 1405 1640 1686 1920 1968 2248 2460 2624 2810 3280 3372 3840 3936 4215 4496 4920 5248 5620 6560 6744 7872 8430 8992 9840 10496 11240 11521 13120 13488 15744 16860 17984 19680 22480 23042 26240 26976 31488 33720 34563 35968 39360 44960 46084 52480 53952 57605 67440 69126 71936 78720 89920 92168 107904 115210 134880 138252 157440 172815 179840 184336 215808 230420 269760 276504 345630 359680 368672 460840 539520 553008 691260 737344 921680 1079040 1106016 1382520 1474688 1843360 2212032 2765040 2949376 3686720 4424064 5530080 7373440 8848128 11060160 14746880 22120320 44240640