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44134080 = 2635311483
BaseRepresentation
bin1010100001011…
…0111011000000
310002001020120120
42220112323000
542244242310
64213540240
71044063534
oct250267300
9102036516
1044134080
1122a04651
1212944680
1391b3453
145c0bbc4
153d1bb70
hex2a16ec0

44134080 has 112 divisors (see below), whose sum is σ = 144743424. Its totient is φ = 11381760.

The previous prime is 44134073. The next prime is 44134109. The reversal of 44134080 is 8043144.

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 44134080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29019 + ... + 30501.

It is an arithmetic number, because the mean of its divisors is an integer number (1292352).

Almost surely, 244134080 is an apocalyptic number.

44134080 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 44134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72371712).

44134080 is an abundant number, since it is smaller than the sum of its proper divisors (100609344).

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

44134080 is a wasteful number, since it uses less digits than its factorization.

44134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 44134080 is about 6643.3485532523. The cubic root of 44134080 is about 353.3930677062.

The spelling of 44134080 in words is "forty-four million, one hundred thirty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1483 1488 1860 1984 2480 2966 2976 3720 4449 4960 5932 5952 7415 7440 8898 9920 11864 14830 14880 17796 22245 23728 29660 29760 35592 44490 45973 47456 59320 71184 88980 91946 94912 118640 137919 142368 177960 183892 229865 237280 275838 284736 355920 367784 459730 474560 551676 689595 711840 735568 919460 1103352 1379190 1423680 1471136 1838920 2206704 2758380 2942272 3677840 4413408 5516760 7355680 8826816 11033520 14711360 22067040 44134080