Search a number
-
+
341566451072 = 27711223136979
BaseRepresentation
bin1001111100001101111…
…00100110110110000000
31012122122100112112010222
410332012330212312000
521044012002413242
6420525150242212
733451222634030
oct4760674466600
91178570475128
10341566451072
111219483a2200
1256245ab6368
132629559b7a2
141276378d8c0
158d419695d2
hex4f86f26d80

341566451072 has 192 divisors, whose sum is σ = 891969926400. Its totient is φ = 127290915840.

The previous prime is 341566451071. The next prime is 341566451099. The reversal of 341566451072 is 270154665143.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341566451071) 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 23 ways as a sum of consecutive naturals, for example, 2425079 + ... + 2562057.

It is an arithmetic number, because the mean of its divisors is an integer number (4645676700).

Almost surely, 2341566451072 is an apocalyptic number.

341566451072 is a gapful number since it is divisible by the number (32) 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 341566451072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445984963200).

341566451072 is an abundant number, since it is smaller than the sum of its proper divisors (550403475328).

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

341566451072 is a wasteful number, since it uses less digits than its factorization.

341566451072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137045 (or 137022 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 341566451072 in words is "three hundred forty-one billion, five hundred sixty-six million, four hundred fifty-one thousand, seventy-two".