Search a number
-
+
341364688 = 2474179941
BaseRepresentation
bin10100010110001…
…100111111010000
3212210100010022121
4110112030333100
51144342132223
653512344024
711313360220
oct2426147720
9783303277
10341364688
11165767385
12963a5014
1355951852
14334a0080
151ee8015d
hex1458cfd0

341364688 has 80 divisors (see below), whose sum is σ = 784949760. Its totient is φ = 140774400.

The previous prime is 341364677. The next prime is 341364703. The reversal of 341364688 is 886463143.

341364688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362298 + ... + 363238.

It is an arithmetic number, because the mean of its divisors is an integer number (9811872).

Almost surely, 2341364688 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 341364688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392474880).

341364688 is an abundant number, since it is smaller than the sum of its proper divisors (443585072).

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

341364688 is a wasteful number, since it uses less digits than its factorization.

341364688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1070 counting only the distinct ones).

The product of its digits is 331776, while the sum is 43.

The square root of 341364688 is about 18476.0571551400. The cubic root of 341364688 is about 698.8857702153.

It can be divided in two parts, 341364 and 688, that multiplied together give a palindrome (234858432).

The spelling of 341364688 in words is "three hundred forty-one million, three hundred sixty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 41 56 79 82 112 158 164 287 316 328 553 574 632 656 941 1106 1148 1264 1882 2212 2296 3239 3764 4424 4592 6478 6587 7528 8848 12956 13174 15056 22673 25912 26348 38581 45346 51824 52696 74339 77162 90692 105392 148678 154324 181384 270067 297356 308648 362768 520373 540134 594712 617296 1040746 1080268 1189424 2081492 2160536 3047899 4162984 4321072 6095798 8325968 12191596 21335293 24383192 42670586 48766384 85341172 170682344 341364688