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4045001334 = 2311313675387
BaseRepresentation
bin1111000100011001…
…1101001001110110
3101102220101100200020
43301012131021312
531241010020314
61505214230010
7202144641543
oct36106351166
911386340606
104045001334
111796330410
1294a7b5306
134c604981a
142a5309bca
1518a1b3da9
hexf119d276

4045001334 has 64 divisors (see below), whose sum is σ = 9136668672. Its totient is φ = 1182765600.

The previous prime is 4045001327. The next prime is 4045001417. The reversal of 4045001334 is 4331005404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 748189 + ... + 753575.

It is an arithmetic number, because the mean of its divisors is an integer number (142760448).

Almost surely, 24045001334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4045001334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568334336).

4045001334 is an abundant number, since it is smaller than the sum of its proper divisors (5091667338).

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

4045001334 is a wasteful number, since it uses less digits than its factorization.

4045001334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5801.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 4045001334 is about 63600.3249520000. The cubic root of 4045001334 is about 1593.3317967205.

Adding to 4045001334 its reverse (4331005404), we get a palindrome (8376006738).

The spelling of 4045001334 in words is "four billion, forty-five million, one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 367 682 734 1023 1101 2046 2202 4037 5387 8074 10774 11377 12111 16161 22754 24222 32322 34131 59257 68262 118514 125147 166997 177771 250294 333994 355542 375441 500991 750882 1001982 1836967 1977029 3673934 3954058 5510901 5931087 11021802 11862174 21747319 43494638 61287899 65241957 122575798 130483914 183863697 367727394 674166889 1348333778 2022500667 4045001334