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2995944 = 2337171049
BaseRepresentation
bin1011011011011011101000
312122012122220
423123123220
51231332234
6144114040
734315350
oct13333350
95565586
102995944
111766996
121005920
1380b863
1457db60
153e2a49
hex2db6e8

2995944 has 64 divisors (see below), whose sum is σ = 9072000. Its totient is φ = 804864.

The previous prime is 2995891. The next prime is 2995973. The reversal of 2995944 is 4495992.

It is a super-2 number, since 2×29959442 = 17951360902272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 217 + 95 + 95 + 59 + 96 + 43 + 49 .

It is a junction number, because it is equal to n+sod(n) for n = 2995896 and 2995905.

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 15 ways as a sum of consecutive naturals, for example, 2332 + ... + 3380.

It is an arithmetic number, because the mean of its divisors is an integer number (141750).

22995944 is an apocalyptic number.

2995944 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 2995944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536000).

2995944 is an abundant number, since it is smaller than the sum of its proper divisors (6076056).

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

2995944 is a wasteful number, since it uses less digits than its factorization.

2995944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1078 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 2995944 is about 1730.8795452024. The cubic root of 2995944 is about 144.1599303359.

It can be divided in two parts, 29959 and 44, that added together give a palindrome (30003).

The spelling of 2995944 in words is "two million, nine hundred ninety-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1049 1428 2098 2856 3147 4196 6294 7343 8392 12588 14686 17833 22029 25176 29372 35666 44058 53499 58744 71332 88116 106998 124831 142664 176232 213996 249662 374493 427992 499324 748986 998648 1497972 2995944