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2341660416 = 2835357529
BaseRepresentation
bin1000101110010010…
…1110011100000000
320001012020200012120
42023210232130000
514243431113131
61024205524240
7112012533204
oct21344563400
96035220176
102341660416
11aa1896147
12554273680
132b41a06a4
14182dd4b04
15da8a0496
hex8b92e700

2341660416 has 72 divisors (see below), whose sum is σ = 6349931280. Its totient is φ = 765812736.

The previous prime is 2341660411. The next prime is 2341660441. The reversal of 2341660416 is 6140661432.

It is a super-2 number, since 2×23416604162 = 10966747007722586112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2341660411) by changing a digit.

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, 11940 + ... + 69468.

It is an arithmetic number, because the mean of its divisors is an integer number (88193490).

Almost surely, 22341660416 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 2341660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174965640).

2341660416 is an abundant number, since it is smaller than the sum of its proper divisors (4008270864).

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

2341660416 is an equidigital number, since it uses as much as digits as its factorization.

2341660416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57601 (or 57587 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2341660416 is about 48390.7058844981. The cubic root of 2341660416 is about 1327.9283359983.

The spelling of 2341660416 in words is "two billion, three hundred forty-one million, six hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 636 768 848 1272 1696 2544 3392 5088 6784 10176 13568 20352 40704 57529 115058 172587 230116 345174 460232 690348 920464 1380696 1840928 2761392 3049037 3681856 5522784 6098074 7363712 9147111 11045568 12196148 14727424 18294222 22091136 24392296 36588444 44182272 48784592 73176888 97569184 146353776 195138368 292707552 390276736 585415104 780553472 1170830208 2341660416