Search a number
-
+
340160401962 = 233231879145759
BaseRepresentation
bin1001111001100110010…
…00111101001000101010
31012112000100210211101000
410330303020331020222
521033122030330322
6420133441535430
733401330465343
oct4746310751052
91175010724330
10340160401962
11121296751747
1255b13044576
13261001b2874
141266cb450ca
158cad2cc3ac
hex4f3323d22a

340160401962 has 64 divisors (see below), whose sum is σ = 789202944000. Its totient is φ = 108398475504.

The previous prime is 340160401961. The next prime is 340160402003. The reversal of 340160401962 is 269104061043.

340160401962 is a `hidden beast` number, since 3 + 4 + 0 + 160 + 401 + 96 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (340160401961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2260839 + ... + 2406597.

It is an arithmetic number, because the mean of its divisors is an integer number (12331296000).

Almost surely, 2340160401962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340160401962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394601472000).

340160401962 is an abundant number, since it is smaller than the sum of its proper divisors (449042542038).

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

340160401962 is a wasteful number, since it uses less digits than its factorization.

340160401962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147672 (or 147666 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 340160401962 in words is "three hundred forty billion, one hundred sixty million, four hundred one thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1242 1879 3758 5637 11274 16911 33822 43217 50733 86434 101466 129651 145759 259302 291518 388953 437277 777906 874554 1166859 1311831 2333718 2623662 3352457 3935493 6704914 7870986 10057371 20114742 30172113 60344226 90516339 181032678 273881161 547762322 821643483 1643286966 2464930449 4929860898 6299266703 7394791347 12598533406 14789582694 18897800109 37795600218 56693400327 113386800654 170080200981 340160401962