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2909041344 = 263311213913
BaseRepresentation
bin1010110101100100…
…0111001011000000
321111201212121112000
42231121013023000
521424203310334
61200354504000
7132042305046
oct25531071300
97451777460
102909041344
111263094900
12692295000
133748b8151
141d84ca396
151205c8299
hexad6472c0

2909041344 has 168 divisors, whose sum is σ = 9400854960. Its totient is φ = 881464320.

The previous prime is 2909041337. The next prime is 2909041367. The reversal of 2909041344 is 4431409092.

It is a super-2 number, since 2×29090413442 = 16925043082202652672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2909041299 and 2909041308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202132 + ... + 216044.

It is an arithmetic number, because the mean of its divisors is an integer number (55957470).

Almost surely, 22909041344 is an apocalyptic number.

2909041344 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 2909041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700427480).

2909041344 is an abundant number, since it is smaller than the sum of its proper divisors (6491813616).

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

2909041344 is a wasteful number, since it uses less digits than its factorization.

2909041344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13956 (or 13929 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2909041344 is about 53935.5295144119. The cubic root of 2909041344 is about 1427.5236035327.

The spelling of 2909041344 in words is "two billion, nine hundred nine million, forty-one thousand, three hundred forty-four".