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2376938064 = 243538311257
BaseRepresentation
bin1000110110101101…
…0011001001010000
320010122121222001010
42031223103021100
514331444004224
61031510010520
7112621432404
oct21553231120
96118558033
102376938064
11100a7a0826
12564046a40
132bb5a2937
14187979104
15dda1ce29
hex8dad3250

2376938064 has 80 divisors (see below), whose sum is σ = 6332219712. Its totient is φ = 767929344.

The previous prime is 2376938063. The next prime is 2376938077. The reversal of 2376938064 is 4608396732.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2376938063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205524 + ... + 216780.

Almost surely, 22376938064 is an apocalyptic number.

2376938064 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 2376938064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166109856).

2376938064 is an abundant number, since it is smaller than the sum of its proper divisors (3955281648).

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

2376938064 is a wasteful number, since it uses less digits than its factorization.

2376938064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11404 (or 11398 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The square root of 2376938064 is about 48753.8517862948. The cubic root of 2376938064 is about 1334.5636402983.

The spelling of 2376938064 in words is "two billion, three hundred seventy-six million, nine hundred thirty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 83 106 159 166 212 249 318 332 424 498 636 664 848 996 1272 1328 1992 2544 3984 4399 8798 11257 13197 17596 22514 26394 33771 35192 45028 52788 67542 70384 90056 105576 135084 180112 211152 270168 540336 596621 934331 1193242 1789863 1868662 2386484 2802993 3579726 3737324 4772968 5605986 7159452 7474648 9545936 11211972 14318904 14949296 22423944 28637808 44847888 49519543 99039086 148558629 198078172 297117258 396156344 594234516 792312688 1188469032 2376938064