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340125520 = 24574911237
BaseRepresentation
bin10100010001011…
…110011101010000
3212201000011111111
4110101132131100
51144033004040
653430023104
711300006410
oct2421363520
9781004444
10340125520
11164aa0379
1295aa7a94
1355609807
143325a640
151ecd7dea
hex1445e750

340125520 has 80 divisors (see below), whose sum is σ = 906334848. Its totient is φ = 116282880.

The previous prime is 340125509. The next prime is 340125529. The reversal of 340125520 is 25521043.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 340125491 and 340125500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340125529) 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 15 ways as a sum of consecutive naturals, for example, 274342 + ... + 275578.

Almost surely, 2340125520 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 340125520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453167424).

340125520 is an abundant number, since it is smaller than the sum of its proper divisors (566209328).

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

340125520 is a wasteful number, since it uses less digits than its factorization.

340125520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 340125520 is about 18442.4922393911. The cubic root of 340125520 is about 698.0390834239.

Adding to 340125520 its reverse (25521043), we get a palindrome (365646563).

The spelling of 340125520 in words is "three hundred forty million, one hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 491 560 982 1237 1964 2455 2474 3437 3928 4910 4948 6185 6874 7856 8659 9820 9896 12370 13748 17185 17318 19640 19792 24740 27496 34370 34636 39280 43295 49480 54992 68740 69272 86590 98960 137480 138544 173180 274960 346360 607367 692720 1214734 2429468 3036835 4251569 4858936 6073670 8503138 9717872 12147340 17006276 21257845 24294680 34012552 42515690 48589360 68025104 85031380 170062760 340125520