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3465606040 = 2351311358979
BaseRepresentation
bin1100111010010000…
…1111001110011000
322221112011000202021
43032210033032120
524044143343130
61331515544224
7151611110461
oct31644171630
98845130667
103465606040
111519276126
1280875b074
13432cb6680
1424c3a7d68
151543b637a
hexce90f398

3465606040 has 64 divisors (see below), whose sum is σ = 8471887200. Its totient is φ = 1268262912.

The previous prime is 3465606019. The next prime is 3465606107. The reversal of 3465606040 is 406065643.

3465606040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3465605987 and 3465606005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29271 + ... + 88249.

Almost surely, 23465606040 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 3465606040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235943600).

3465606040 is an abundant number, since it is smaller than the sum of its proper divisors (5006281160).

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

3465606040 is a wasteful number, since it uses less digits than its factorization.

3465606040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59116 (or 59112 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 3465606040 is about 58869.3981623730. The cubic root of 3465606040 is about 1513.3047570834.

The spelling of 3465606040 in words is "three billion, four hundred sixty-five million, six hundred six thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 113 130 226 260 452 520 565 904 1130 1469 2260 2938 4520 5876 7345 11752 14690 29380 58760 58979 117958 235916 294895 471832 589790 766727 1179580 1533454 2359160 3066908 3833635 6133816 6664627 7667270 13329254 15334540 26658508 30669080 33323135 53317016 66646270 86640151 133292540 173280302 266585080 346560604 433200755 693121208 866401510 1732803020 3465606040