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2044333104 = 2431123712371
BaseRepresentation
bin111100111011010…
…0000110000110000
312021110202212210220
41321312200300300
513141322124404
6534505053040
7101442354552
oct17166406060
95243685726
102044333104
11959a777a0
12490787180
132676ca278
141557194d2
15be71d4d9
hex79da0c30

2044333104 has 160 divisors (see below), whose sum is σ = 6099038208. Its totient is φ = 583968000.

The previous prime is 2044333087. The next prime is 2044333111. The reversal of 2044333104 is 4013334402.

It is a super-2 number, since 2×20443331042 = 8358595680220549632, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 861039 + ... + 863409.

Almost surely, 22044333104 is an apocalyptic number.

2044333104 is a gapful number since it is divisible by the number (24) 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 2044333104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049519104).

2044333104 is an abundant number, since it is smaller than the sum of its proper divisors (4054705104).

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

2044333104 is a wasteful number, since it uses less digits than its factorization.

2044333104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2044333104 is about 45214.3019851020. The cubic root of 2044333104 is about 1269.1624676097.

Adding to 2044333104 its reverse (4013334402), we get a palindrome (6057667506).

The spelling of 2044333104 in words is "two billion, forty-four million, three hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 71 88 92 132 138 142 176 184 213 253 264 276 284 368 426 506 528 552 568 759 781 852 1012 1104 1136 1518 1562 1633 1704 2024 2343 2371 3036 3124 3266 3408 4048 4686 4742 4899 6072 6248 6532 7113 9372 9484 9798 12144 12496 13064 14226 17963 18744 18968 19596 26081 26128 28452 35926 37488 37936 39192 52162 53889 54533 56904 71852 78243 78384 104324 107778 109066 113808 143704 156486 163599 168341 208648 215556 218132 287408 312972 327198 336682 417296 431112 436264 505023 599863 625944 654396 673364 862224 872528 1010046 1199726 1251888 1308792 1346728 1799589 1851751 2020092 2399452 2617584 2693456 3599178 3703502 3871843 4040184 4798904 5555253 7198356 7407004 7743686 8080368 9597808 11110506 11615529 14396712 14814008 15487372 22221012 23231058 28793424 29628016 30974744 42590273 44442024 46462116 61949488 85180546 88884048 92924232 127770819 170361092 185848464 255541638 340722184 511083276 681444368 1022166552 2044333104