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3079944 = 23347297
BaseRepresentation
bin1011101111111100001000
312210110220000
423233330020
51242024234
6150003000
735115300
oct13577410
95713800
103079944
11181400a
121046460
1383ab6a
145a2600
1540c899
hex2eff08

3079944 has 120 divisors (see below), whose sum is σ = 10138590. Its totient is φ = 870912.

The previous prime is 3079939. The next prime is 3079987. The reversal of 3079944 is 4499703.

It can be written as a sum of positive squares in only one way, i.e., 2683044 + 396900 = 1638^2 + 630^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3079899 and 3079908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31704 + ... + 31800.

Almost surely, 23079944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3079944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5069295).

3079944 is an abundant number, since it is smaller than the sum of its proper divisors (7058646).

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

3079944 is a wasteful number, since it uses less digits than its factorization.

3079944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3079944 is about 1754.9769229252. The cubic root of 3079944 is about 145.4948451782.

The spelling of 3079944 in words is "three million, seventy-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 97 98 108 126 147 162 168 189 194 196 216 252 291 294 324 378 388 392 441 504 567 582 588 648 679 756 776 873 882 1134 1164 1176 1323 1358 1512 1746 1764 2037 2268 2328 2619 2646 2716 3492 3528 3969 4074 4536 4753 5238 5292 5432 6111 6984 7857 7938 8148 9506 10476 10584 12222 14259 15714 15876 16296 18333 19012 20952 24444 28518 31428 31752 36666 38024 42777 48888 54999 57036 62856 73332 85554 109998 114072 128331 146664 171108 219996 256662 342216 384993 439992 513324 769986 1026648 1539972 3079944