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2364242976 = 253213759921
BaseRepresentation
bin1000110011101011…
…0111110000100000
320002202201222122200
42030322313300200
514320221233401
61030333533200
7112405506444
oct21472676040
96082658580
102364242976
11100360a817
1255b944200
132b8a79454
14185dd2824
15dc861686
hex8ceb7c20

2364242976 has 72 divisors (see below), whose sum is σ = 6772504284. Its totient is φ = 782315520.

The previous prime is 2364242891. The next prime is 2364242977. The reversal of 2364242976 is 6792424632.

It can be written as a sum of positive squares in 2 ways, for example, as 2298243600 + 65999376 = 47940^2 + 8124^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2364242977) 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, 9496 + ... + 69416.

Almost surely, 22364242976 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 2364242976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386252142).

2364242976 is an abundant number, since it is smaller than the sum of its proper divisors (4408261308).

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

2364242976 is a wasteful number, since it uses less digits than its factorization.

2364242976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60074 (or 60063 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 2364242976 is about 48623.4817346516. The cubic root of 2364242976 is about 1332.1834555097.

The spelling of 2364242976 in words is "two billion, three hundred sixty-four million, two hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 137 144 274 288 411 548 822 1096 1233 1644 2192 2466 3288 4384 4932 6576 9864 13152 19728 39456 59921 119842 179763 239684 359526 479368 539289 719052 958736 1078578 1438104 1917472 2157156 2876208 4314312 5752416 8209177 8628624 16418354 17257248 24627531 32836708 49255062 65673416 73882593 98510124 131346832 147765186 197020248 262693664 295530372 394040496 591060744 788080992 1182121488 2364242976