Search a number
-
+
340675632 = 243411231039
BaseRepresentation
bin10100010011100…
…100110000110000
3212202001010010000
4110103210300300
51144203110012
653445510000
711304460263
oct2423446060
9782033100
10340675632
11165336710
1296112300
135577001b
1433360cda
151ed95ddc
hex144e4c30

340675632 has 200 divisors, whose sum is σ = 1123499520. Its totient is φ = 98651520.

The previous prime is 340675603. The next prime is 340675633. The reversal of 340675632 is 236576043.

340675632 is a `hidden beast` number, since 34 + 0 + 67 + 563 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (340675633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 327369 + ... + 328407.

Almost surely, 2340675632 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 340675632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561749760).

340675632 is an abundant number, since it is smaller than the sum of its proper divisors (782823888).

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

340675632 is a wasteful number, since it uses less digits than its factorization.

340675632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 340675632 is about 18457.4004670214. The cubic root of 340675632 is about 698.4152120540.

The spelling of 340675632 in words is "three hundred forty million, six hundred seventy-five thousand, six hundred thirty-two".