Search a number
-
+
343674720 = 2532517101139
BaseRepresentation
bin10100011111000…
…000111101100000
3212221200111002100
4110133000331200
51200440042340
654034050400
711342121054
oct2437007540
9787614070
10343674720
11166aa49a4
1297119a00
135628012c
1433901c64
1520289830
hex147c0f60

343674720 has 288 divisors, whose sum is σ = 1263094560. Its totient is φ = 84787200.

The previous prime is 343674713. The next prime is 343674739. The reversal of 343674720 is 27476343.

It is a happy number.

343674720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3436747202 = 236224626334156800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2472411 + ... + 2472549.

It is an arithmetic number, because the mean of its divisors is an integer number (4385745).

Almost surely, 2343674720 is an apocalyptic number.

343674720 is a gapful number since it is divisible by the number (30) 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 343674720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631547280).

343674720 is an abundant number, since it is smaller than the sum of its proper divisors (919419840).

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

343674720 is a wasteful number, since it uses less digits than its factorization.

343674720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 343674720 is about 18538.4659559522. The cubic root of 343674720 is about 700.4586925618.

The spelling of 343674720 in words is "three hundred forty-three million, six hundred seventy-four thousand, seven hundred twenty".