Search a number
-
+
340719049944 = 233571319167607
BaseRepresentation
bin1001111010101000111…
…00000001110011011000
31012120110022000002100000
410331110130001303120
521040243034044234
6420305115413000
733421223065560
oct4752434016330
91176408002300
10340719049944
11121553026199
125604a154160
132618bb603c0
14126c3005da0
158ce237c899
hex4f54701cd8

340719049944 has 768 divisors, whose sum is σ = 1249261977600. Its totient is φ = 84481325568.

The previous prime is 340719049763. The next prime is 340719049999. The reversal of 340719049944 is 449940917043.

340719049944 is a `hidden beast` number, since 3 + 40 + 71 + 9 + 0 + 499 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 561316089 + ... + 561316695.

It is an arithmetic number, because the mean of its divisors is an integer number (1626643200).

Almost surely, 2340719049944 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 340719049944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624630988800).

340719049944 is an abundant number, since it is smaller than the sum of its proper divisors (908542927656).

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

340719049944 is a wasteful number, since it uses less digits than its factorization.

340719049944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 340719049944 in words is "three hundred forty billion, seven hundred nineteen million, forty-nine thousand, nine hundred forty-four".