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2944216338 = 237238336721
BaseRepresentation
bin1010111101111101…
…0010110100010010
321121012001200112120
42233133102310102
522012204410323
61204052435110
7132650266050
oct25737226422
97535050476
102944216338
111280a2a348
126a2018a96
1337bc8275b
141dd0451d0
151237255e3
hexaf7d2d12

2944216338 has 64 divisors (see below), whose sum is σ = 7107028992. Its totient is φ = 794914560.

The previous prime is 2944216333. The next prime is 2944216391. The reversal of 2944216338 is 8336124492.

It is a super-2 number, since 2×29442163382 = 17336819689892260488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2944216338.

It is not an unprimeable number, because it can be changed into a prime (2944216333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61818 + ... + 98538.

It is an arithmetic number, because the mean of its divisors is an integer number (111047328).

Almost surely, 22944216338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2944216338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553514496).

2944216338 is an abundant number, since it is smaller than the sum of its proper divisors (4162812654).

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

2944216338 is a wasteful number, since it uses less digits than its factorization.

2944216338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36839.

The product of its digits is 248832, while the sum is 42.

The square root of 2944216338 is about 54260.6334094986. The cubic root of 2944216338 is about 1433.2542539509.

The spelling of 2944216338 in words is "two billion, nine hundred forty-four million, two hundred sixteen thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 83 138 161 166 249 322 483 498 581 966 1162 1743 1909 3486 3818 5727 11454 13363 26726 36721 40089 73442 80178 110163 220326 257047 514094 771141 844583 1542282 1689166 2533749 3047843 5067498 5912081 6095686 9143529 11824162 17736243 18287058 21334901 35472486 42669802 64004703 70100389 128009406 140200778 210301167 420602334 490702723 981405446 1472108169 2944216338