Search a number
-
+
4031340152 = 237217679029
BaseRepresentation
bin1111000001001001…
…0101111001111000
3101101221200022001112
43300102111321320
531224010341102
61504005335452
7201620553200
oct36022257170
911357608045
104031340152
11178964a584
12946107588
134c3275698
142a3591400
15188db6252
hexf0495e78

4031340152 has 96 divisors (see below), whose sum is σ = 9450075600. Its totient is φ = 1601639424.

The previous prime is 4031340151. The next prime is 4031340191. The reversal of 4031340152 is 2510431304.

4031340152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40313401522 = 32503406842254766208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4031340151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441974 + ... + 451002.

Almost surely, 24031340152 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 4031340152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4725037800).

4031340152 is an abundant number, since it is smaller than the sum of its proper divisors (5418735448).

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

4031340152 is a wasteful number, since it uses less digits than its factorization.

4031340152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9133 (or 9122 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 4031340152 is about 63492.8354383390. The cubic root of 4031340152 is about 1591.5360539198.

Adding to 4031340152 its reverse (2510431304), we get a palindrome (6541771456).

The spelling of 4031340152 in words is "four billion, thirty-one million, three hundred forty thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 67 68 98 119 134 136 196 238 268 392 469 476 536 833 938 952 1139 1666 1876 2278 3283 3332 3752 4556 6566 6664 7973 9029 9112 13132 15946 18058 26264 31892 36116 55811 63203 63784 72232 111622 126406 153493 223244 252812 306986 442421 446488 505624 604943 613972 884842 1074451 1209886 1227944 1769684 2148902 2419772 3539368 4234601 4297804 4839544 7521157 8469202 8595608 10284031 15042314 16938404 20568062 29642207 30084628 33876808 41136124 59284414 60169256 71988217 82272248 118568828 143976434 237137656 287952868 503917519 575905736 1007835038 2015670076 4031340152