Search a number
-
+
343676896 = 25172232833
BaseRepresentation
bin10100011111000…
…001011111100000
3212221200121001221
4110133001133200
51200440130041
654034104424
711342130313
oct2437013740
9787617057
10343676896
11166aa65a2
129711b114
1356281114
143390297a
152028a2d1
hex147c17e0

343676896 has 48 divisors (see below), whose sum is σ = 719881344. Its totient is φ = 160948224.

The previous prime is 343676887. The next prime is 343676899. The reversal of 343676896 is 698676343.

It is a super-2 number, since 2×3436768962 = 236227617688389632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343676899) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119896 + ... + 122728.

It is an arithmetic number, because the mean of its divisors is an integer number (14997528).

Almost surely, 2343676896 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 343676896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359940672).

343676896 is an abundant number, since it is smaller than the sum of its proper divisors (376204448).

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

343676896 is a wasteful number, since it uses less digits than its factorization.

343676896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083 (or 3075 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 52.

The square root of 343676896 is about 18538.5246446420. The cubic root of 343676896 is about 700.4601708927.

The spelling of 343676896 in words is "three hundred forty-three million, six hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 223 272 446 544 892 1784 2833 3568 3791 5666 7136 7582 11332 15164 22664 30328 45328 48161 60656 90656 96322 121312 192644 385288 631759 770576 1263518 1541152 2527036 5054072 10108144 10739903 20216288 21479806 42959612 85919224 171838448 343676896