Search a number
-
+
331207008 = 25311228513
BaseRepresentation
bin10011101111011…
…101000101100000
3212002020001121020
4103233131011200
51134242111013
652510525440
711131133046
oct2357350540
9762201536
10331207008
1115aa59800
1292b06880
13538062a2
1431db8396
151e125623
hex13bdd160

331207008 has 72 divisors (see below), whose sum is σ = 955675224. Its totient is φ = 100362240.

The previous prime is 331207001. The next prime is 331207033. The reversal of 331207008 is 800702133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331207001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2641 + ... + 25872.

It is an arithmetic number, because the mean of its divisors is an integer number (13273267).

Almost surely, 2331207008 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 331207008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477837612).

331207008 is an abundant number, since it is smaller than the sum of its proper divisors (624468216).

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

331207008 is a wasteful number, since it uses less digits than its factorization.

331207008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28548 (or 28529 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 331207008 is about 18199.0936038035. The cubic root of 331207008 is about 691.8838166846.

The spelling of 331207008 in words is "three hundred thirty-one million, two hundred seven thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5808 11616 28513 57026 85539 114052 171078 228104 313643 342156 456208 627286 684312 912416 940929 1254572 1368624 1881858 2509144 2737248 3450073 3763716 5018288 6900146 7527432 10036576 10350219 13800292 15054864 20700438 27600584 30109728 41400876 55201168 82801752 110402336 165603504 331207008