Search a number
-
+
331735152 = 24379671021
BaseRepresentation
bin10011110001011…
…110000001110000
3212010012220002010
4103301132001300
51134411011102
652530122520
711135462610
oct2361360160
9763186063
10331735152
1116028a591
1293120440
135395c7b8
14320b4a40
151e1cbd6c
hex13c5e070

331735152 has 80 divisors (see below), whose sum is σ = 981381632. Its totient is φ = 94590720.

The previous prime is 331735133. The next prime is 331735177. The reversal of 331735152 is 251537133.

It is a super-2 number, since 2×3317351522 = 220096422144926208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324402 + ... + 325422.

Almost surely, 2331735152 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 331735152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490690816).

331735152 is an abundant number, since it is smaller than the sum of its proper divisors (649646480).

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

331735152 is a wasteful number, since it uses less digits than its factorization.

331735152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 2000 counting only the distinct ones).

The product of its digits is 9450, while the sum is 30.

The square root of 331735152 is about 18213.5979971010. The cubic root of 331735152 is about 692.2513816004.

The spelling of 331735152 in words is "three hundred thirty-one million, seven hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 967 1021 1934 2042 2901 3063 3868 4084 5802 6126 6769 7147 7736 8168 11604 12252 13538 14294 15472 16336 20307 21441 23208 24504 27076 28588 40614 42882 46416 49008 54152 57176 81228 85764 108304 114352 162456 171528 324912 343056 987307 1974614 2961921 3949228 5923842 6911149 7898456 11847684 13822298 15796912 20733447 23695368 27644596 41466894 47390736 55289192 82933788 110578384 165867576 331735152