Search a number
-
+
340311032424 = 2333116110332273
BaseRepresentation
bin1001111001111000001…
…11100100001001101000
31012112101212020122112000
410330330013210021220
521033424111014144
6420200422251000
733405140022246
oct4747407441150
91175355218460
10340311032424
11121363784630
1255b55586a60
132612547270c
1412684b55796
158cbb633769
hex4f3c1e4268

340311032424 has 256 divisors, whose sum is σ = 1049627462400. Its totient is φ = 101291212800.

The previous prime is 340311032419. The next prime is 340311032429. The reversal of 340311032424 is 424230113043.

340311032424 is a `hidden beast` number, since 3 + 4 + 0 + 311 + 0 + 324 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (340311032419) and next prime (340311032429).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (340311032429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149717752 + ... + 149720024.

It is an arithmetic number, because the mean of its divisors is an integer number (4100107275).

Almost surely, 2340311032424 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 340311032424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524813731200).

340311032424 is an abundant number, since it is smaller than the sum of its proper divisors (709316429976).

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

340311032424 is a wasteful number, since it uses less digits than its factorization.

340311032424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 340311032424 its reverse (424230113043), we get a palindrome (764541145467).

The spelling of 340311032424 in words is "three hundred forty billion, three hundred eleven million, thirty-two thousand, four hundred twenty-four".