Search a number
-
+
3801534264 = 23321110514567
BaseRepresentation
bin1110001010010110…
…1100111100111000
3100210221020221122100
43202211230330320
530241143044024
61425120023400
7163130336163
oct34245547470
910727227570
103801534264
111680959a60
128a1161b60
13487783878
14280c50ada
15173b207c9
hexe296cf38

3801534264 has 96 divisors (see below), whose sum is σ = 11244954240. Its totient is φ = 1150632000.

The previous prime is 3801534263. The next prime is 3801534283. The reversal of 3801534264 is 4624351083.

3801534264 is a `hidden beast` number, since 3 + 80 + 153 + 426 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3801534263) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 830109 + ... + 834675.

It is an arithmetic number, because the mean of its divisors is an integer number (117134940).

Almost surely, 23801534264 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 3801534264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5622477120).

3801534264 is an abundant number, since it is smaller than the sum of its proper divisors (7443419976).

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

3801534264 is a wasteful number, since it uses less digits than its factorization.

3801534264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5641 (or 5634 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3801534264 is about 61656.5832981361. The cubic root of 3801534264 is about 1560.7007404123.

The spelling of 3801534264 in words is "three billion, eight hundred one million, five hundred thirty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1051 2102 3153 4204 4567 6306 8408 9134 9459 11561 12612 13701 18268 18918 23122 25224 27402 34683 36536 37836 41103 46244 50237 54804 69366 75672 82206 92488 100474 104049 109608 138732 150711 164412 200948 208098 277464 301422 328824 401896 416196 452133 602844 832392 904266 1205688 1808532 3617064 4799917 9599834 14399751 19199668 28799502 38399336 43199253 52799087 57599004 86398506 105598174 115198008 158397261 172797012 211196348 316794522 345594024 422392696 475191783 633589044 950383566 1267178088 1900767132 3801534264