Search a number
-
+
2364052416 = 263111119343
BaseRepresentation
bin1000110011101000…
…1001001111000000
320002202101022020220
42030322021033000
514320144134131
61030325503040
7112404054045
oct21472111700
96082338226
102364052416
11100349a630
1255b871a80
132b8a107ab
14185d831cc
15dc824e96
hex8ce893c0

2364052416 has 56 divisors (see below), whose sum is σ = 6823521024. Its totient is φ = 716378880.

The previous prime is 2364052391. The next prime is 2364052451. The reversal of 2364052416 is 6142504632.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 557560 + ... + 561783.

Almost surely, 22364052416 is an apocalyptic number.

It is an amenable number.

2364052416 is an abundant number, since it is smaller than the sum of its proper divisors (4459468608).

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

2364052416 is a wasteful number, since it uses less digits than its factorization.

2364052416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119369 (or 1119359 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 2364052416 is about 48621.5221481187. The cubic root of 2364052416 is about 1332.1476628405.

The spelling of 2364052416 in words is "two billion, three hundred sixty-four million, fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 1119343 2238686 3358029 4477372 6716058 8954744 12312773 13432116 17909488 24625546 26864232 35818976 36938319 49251092 53728464 71637952 73876638 98502184 107456928 147753276 197004368 214913856 295506552 394008736 591013104 788017472 1182026208 2364052416