Search a number
-
+
2943264 = 253233143
BaseRepresentation
bin1011001110100100100000
312112112101210
423032210200
51223141024
6143030120
734005642
oct13164440
95475353
102943264
111730355
12b9b340
137c089c
14568892
153d2129
hex2ce920

2943264 has 96 divisors (see below), whose sum is σ = 8515584. Its totient is φ = 887040.

The previous prime is 2943257. The next prime is 2943289. The reversal of 2943264 is 4623492.

2943264 = 2932 + 2942 + ... + 3232.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68427 + ... + 68469.

It is an arithmetic number, because the mean of its divisors is an integer number (88704).

22943264 is an apocalyptic number.

2943264 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 2943264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257792).

2943264 is an abundant number, since it is smaller than the sum of its proper divisors (5572320).

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

2943264 is a wasteful number, since it uses less digits than its factorization.

2943264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 2943264 is about 1715.5943576498. The cubic root of 2943264 is about 143.3099703523.

The spelling of 2943264 in words is "two million, nine hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 43 46 48 62 69 86 92 93 96 124 129 138 172 184 186 248 258 276 344 368 372 496 516 552 688 713 736 744 989 992 1032 1104 1333 1376 1426 1488 1978 2064 2139 2208 2666 2852 2967 2976 3956 3999 4128 4278 5332 5704 5934 7912 7998 8556 10664 11408 11868 15824 15996 17112 21328 22816 23736 30659 31648 31992 34224 42656 47472 61318 63984 68448 91977 94944 122636 127968 183954 245272 367908 490544 735816 981088 1471632 2943264