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2906715344 = 241323226417
BaseRepresentation
bin1010110101000000…
…1111010011010000
321111120111102211212
42231100033103100
521423104342334
61200232555252
7132013446521
oct25520172320
97446442755
102906715344
111261846295
12691552b28
13374282510
141d8082848
151202b8ece
hexad40f4d0

2906715344 has 60 divisors (see below), whose sum is σ = 6340372836. Its totient is φ = 1283183616.

The previous prime is 2906715281. The next prime is 2906715349. The reversal of 2906715344 is 4435176092.

It can be written as a sum of positive squares in 2 ways, for example, as 447745600 + 2458969744 = 21160^2 + 49588^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2906715349) 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, 96824 + ... + 123240.

Almost surely, 22906715344 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 2906715344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170186418).

2906715344 is an abundant number, since it is smaller than the sum of its proper divisors (3433657492).

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

2906715344 is a wasteful number, since it uses less digits than its factorization.

2906715344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26484 (or 26455 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 2906715344 is about 53913.9624216214. The cubic root of 2906715344 is about 1427.1430308195.

The spelling of 2906715344 in words is "two billion, nine hundred six million, seven hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 529 598 1058 1196 2116 2392 4232 4784 6877 8464 13754 26417 27508 52834 55016 105668 110032 211336 343421 422672 607591 686842 1215182 1373684 2430364 2747368 4860728 5494736 7898683 9721456 13974593 15797366 27949186 31594732 55898372 63189464 111796744 126378928 181669709 223593488 363339418 726678836 1453357672 2906715344