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340425632 = 2531571601
BaseRepresentation
bin10100010010100…
…111101110100000
3212201120102011202
4110102213232200
51144122110012
653440300332
711302366361
oct2422475640
9781512152
10340425632
111651858a8
12960116a8
13556b32b1
14332d7b68
151ed46cc2
hex144a7ba0

340425632 has 48 divisors (see below), whose sum is σ = 694197504. Its totient is φ = 164160000.

The previous prime is 340425619. The next prime is 340425643. The reversal of 340425632 is 236524043.

It is a super-2 number, since 2×3404256322 = 231779221845198848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 340425595 and 340425604.

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 7 ways as a sum of consecutive naturals, for example, 566132 + ... + 566732.

It is an arithmetic number, because the mean of its divisors is an integer number (14462448).

Almost surely, 2340425632 is an apocalyptic number.

340425632 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 340425632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347098752).

340425632 is an abundant number, since it is smaller than the sum of its proper divisors (353771872).

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

340425632 is a wasteful number, since it uses less digits than its factorization.

340425632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 340425632 is about 18450.6268728193. The cubic root of 340425632 is about 698.2443295348.

Adding to 340425632 its reverse (236524043), we get a palindrome (576949675).

The spelling of 340425632 in words is "three hundred forty million, four hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 571 601 992 1142 1202 2284 2404 4568 4808 9136 9616 17701 18272 18631 19232 35402 37262 70804 74524 141608 149048 283216 298096 343171 566432 596192 686342 1372684 2745368 5490736 10638301 10981472 21276602 42553204 85106408 170212816 340425632