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44734080 = 2735231013
BaseRepresentation
bin1010101010100…
…1011010000000
310010011201121210
42222221122000
542422442310
64234450120
71052143026
oct252513200
9103151553
1044734080
1123284416
1212b93940
139363591
145d26716
153dd9820
hex2aa9680

44734080 has 128 divisors (see below), whose sum is σ = 148936320. Its totient is φ = 11399168.

The previous prime is 44734051. The next prime is 44734087. The reversal of 44734080 is 8043744.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×447340802 = 4002275826892800, which contains 22 as substring.

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

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (44734087) 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, 43654 + ... + 44666.

It is an arithmetic number, because the mean of its divisors is an integer number (1163565).

Almost surely, 244734080 is an apocalyptic number.

44734080 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 44734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74468160).

44734080 is an abundant number, since it is smaller than the sum of its proper divisors (104202240).

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

44734080 is a wasteful number, since it uses less digits than its factorization.

44734080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 44734080 is about 6688.3540576139. The cubic root of 44734080 is about 354.9873168781.

The spelling of 44734080 in words is "forty-four million, seven hundred thirty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 276 320 345 368 384 460 480 552 640 690 736 920 960 1013 1104 1380 1472 1840 1920 2026 2208 2760 2944 3039 3680 4052 4416 5065 5520 6078 7360 8104 8832 10130 11040 12156 14720 15195 16208 20260 22080 23299 24312 30390 32416 40520 44160 46598 48624 60780 64832 69897 81040 93196 97248 116495 121560 129664 139794 162080 186392 194496 232990 243120 279588 324160 349485 372784 388992 465980 486240 559176 648320 698970 745568 931960 972480 1118352 1397940 1491136 1863920 1944960 2236704 2795880 2982272 3727840 4473408 5591760 7455680 8946816 11183520 14911360 22367040 44734080