Search a number
-
+
191343840 = 253517131179
BaseRepresentation
bin10110110011110…
…10110011100000
3111100001021101220
423121322303200
5342441000330
630553055040
74512252522
oct1331726340
9440037356
10191343840
1199010506
12540b7480
133084630c
141b5aba12
1511be9710
hexb67ace0

191343840 has 192 divisors, whose sum is σ = 646652160. Its totient is φ = 47390720.

The previous prime is 191343839. The next prime is 191343913. The reversal of 191343840 is 48343191.

It is a super-2 number, since 2×1913438402 = 73224930211891200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1068871 + ... + 1069049.

It is an arithmetic number, because the mean of its divisors is an integer number (3367980).

Almost surely, 2191343840 is an apocalyptic number.

191343840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191343840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323326080).

191343840 is an abundant number, since it is smaller than the sum of its proper divisors (455308320).

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

191343840 is a wasteful number, since it uses less digits than its factorization.

191343840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 191343840 is about 13832.7090622192. The cubic root of 191343840 is about 576.2418930008.

It can be divided in two parts, 1913 and 43840, that added together give a triangular number (45753 = T302).

The spelling of 191343840 in words is "one hundred ninety-one million, three hundred forty-three thousand, eight hundred forty".