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2990944 = 251129293
BaseRepresentation
bin1011011010001101100000
312121221210201
423122031200
51231202234
6144034544
734264645
oct13321540
95557721
102990944
111763160
121002a54
138094b8
1457bdcc
153e1314
hex2da360

2990944 has 48 divisors (see below), whose sum is σ = 6667920. Its totient is φ = 1308160.

The previous prime is 2990941. The next prime is 2990957. The reversal of 2990944 is 4490992.

It is a super-2 number, since 2×29909442 = 17891492022272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2990941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10062 + ... + 10354.

It is an arithmetic number, because the mean of its divisors is an integer number (138915).

22990944 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 2990944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333960).

2990944 is an abundant number, since it is smaller than the sum of its proper divisors (3676976).

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

2990944 is a wasteful number, since it uses less digits than its factorization.

2990944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 2990944 is about 1729.4345896853. The cubic root of 2990944 is about 144.0796884033.

It can be divided in two parts, 29 and 90944, that multiplied together give a square (2637376 = 16242).

The spelling of 2990944 in words is "two million, nine hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 293 319 352 464 586 638 928 1172 1276 2344 2552 3223 4688 5104 6446 8497 9376 10208 12892 16994 25784 33988 51568 67976 93467 103136 135952 186934 271904 373868 747736 1495472 2990944