Search a number
-
+
2943072 = 253211929
BaseRepresentation
bin1011001110100001100000
312112112010200
423032201200
51223134242
6143025200
734005246
oct13164140
95475120
102943072
1117301a0
12b9b200
137c0782
14568796
153d204c
hex2ce860

2943072 has 72 divisors (see below), whose sum is σ = 9140040. Its totient is φ = 890880.

The previous prime is 2943001. The next prime is 2943079. The reversal of 2943072 is 2703492.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2943079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2704 + ... + 3632.

It is an arithmetic number, because the mean of its divisors is an integer number (126945).

22943072 is an apocalyptic number.

2943072 is a gapful number since it is divisible by the number (22) 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 2943072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570020).

2943072 is an abundant number, since it is smaller than the sum of its proper divisors (6196968).

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

2943072 is a wasteful number, since it uses less digits than its factorization.

2943072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2943072 is about 1715.5383994537. The cubic root of 2943072 is about 143.3068540714.

The spelling of 2943072 in words is "two million, nine hundred forty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 929 1056 1584 1858 2787 3168 3716 5574 7432 8361 10219 11148 14864 16722 20438 22296 29728 30657 33444 40876 44592 61314 66888 81752 89184 91971 122628 133776 163504 183942 245256 267552 327008 367884 490512 735768 981024 1471536 2943072