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340513632 = 2534131371
BaseRepresentation
bin10100010010111…
…101001101100000
3212201201212220000
4110102331031200
51144132414012
653442220000
711303214054
oct2422751540
9781655800
10340513632
11165235a28
1296054600
1355714374
143331bc64
151ed62ddc
hex144bd360

340513632 has 60 divisors (see below), whose sum is σ = 1001448756. Its totient is φ = 113503680.

The previous prime is 340513619. The next prime is 340513633. The reversal of 340513632 is 236315043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 340513596 and 340513605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340513633) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 63094 + ... + 68277.

Almost surely, 2340513632 is an apocalyptic number.

340513632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

340513632 is an abundant number, since it is smaller than the sum of its proper divisors (660935124).

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

340513632 is a wasteful number, since it uses less digits than its factorization.

340513632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131393 (or 131376 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 340513632 is about 18453.0114615474. The cubic root of 340513632 is about 698.3044897200.

Adding to 340513632 its reverse (236315043), we get a palindrome (576828675).

The spelling of 340513632 in words is "three hundred forty million, five hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 131371 262742 394113 525484 788226 1050968 1182339 1576452 2101936 2364678 3152904 3547017 4203872 4729356 6305808 7094034 9458712 10641051 12611616 14188068 18917424 21282102 28376136 37834848 42564204 56752272 85128408 113504544 170256816 340513632