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44345664 = 2633112333
BaseRepresentation
bin1010100100101…
…0100101000000
310002102222211000
42221022211000
542323030124
64222252000
71045634436
oct251124500
9102388730
1044345664
1123039610
1212a27000
13925884c
145c64d56
153d5e6c9
hex2a4a940

44345664 has 112 divisors (see below), whose sum is σ = 142280640. Its totient is φ = 13432320.

The previous prime is 44345591. The next prime is 44345671. The reversal of 44345664 is 46654344.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 17842 + ... + 20174.

Almost surely, 244345664 is an apocalyptic number.

44345664 is a gapful number since it is divisible by the number (44) 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 44345664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71140320).

44345664 is an abundant number, since it is smaller than the sum of its proper divisors (97934976).

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

44345664 is a wasteful number, since it uses less digits than its factorization.

44345664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2349 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 44345664 is about 6659.2540122749. The cubic root of 44345664 is about 353.9569036878.

The spelling of 44345664 in words is "forty-four million, three hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2333 2376 3168 4666 4752 6336 6999 9332 9504 13998 18664 19008 20997 25663 27996 37328 41994 51326 55992 62991 74656 76989 83988 102652 111984 125982 149312 153978 167976 205304 223968 230967 251964 307956 335952 410608 447936 461934 503928 615912 671904 692901 821216 923868 1007856 1231824 1343808 1385802 1642432 1847736 2015712 2463648 2771604 3695472 4031424 4927296 5543208 7390944 11086416 14781888 22172832 44345664