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2334411040 = 255134723879
BaseRepresentation
bin1000101100100100…
…0100100100100000
320000200121100221011
42023021010210200
514240102123130
61023350310304
7111564111043
oct21311044440
96020540834
102334411040
11a98794625
12551958394
132b2832b10
14182068c5a
15d9e1c52a
hex8b244920

2334411040 has 96 divisors (see below), whose sum is σ = 6065902080. Its totient is φ = 843561984.

The previous prime is 2334411029. The next prime is 2334411043. The reversal of 2334411040 is 401144332.

It is not an unprimeable number, because it can be changed into a prime (2334411043) 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, 85821 + ... + 109699.

It is an arithmetic number, because the mean of its divisors is an integer number (63186480).

Almost surely, 22334411040 is an apocalyptic number.

2334411040 is a gapful number since it is divisible by the number (20) 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 2334411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032951040).

2334411040 is an abundant number, since it is smaller than the sum of its proper divisors (3731491040).

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

2334411040 is a wasteful number, since it uses less digits than its factorization.

2334411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23954 (or 23946 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2334411040 is about 48315.7431899790. The cubic root of 2334411040 is about 1326.5565738911.

Adding to 2334411040 its reverse (401144332), we get a palindrome (2735555372).

The spelling of 2334411040 in words is "two billion, three hundred thirty-four million, four hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 47 52 65 80 94 104 130 160 188 208 235 260 376 416 470 520 611 752 940 1040 1222 1504 1880 2080 2444 3055 3760 4888 6110 7520 9776 12220 19552 23879 24440 47758 48880 95516 97760 119395 191032 238790 310427 382064 477580 620854 764128 955160 1122313 1241708 1552135 1910320 2244626 2483416 3104270 3820640 4489252 4966832 5611565 6208540 8978504 9933664 11223130 12417080 14590069 17957008 22446260 24834160 29180138 35914016 44892520 49668320 58360276 72950345 89785040 116720552 145900690 179570080 233441104 291801380 466882208 583602760 1167205520 2334411040