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3145332340 = 2252310962731
BaseRepresentation
bin1011101101111001…
…1111011001110100
322010012111102211101
42323132133121310
522420201113330
61240035215444
7140641612063
oct27336373164
98105442741
103145332340
111374504817
12739447584
133b183a9c7
1421ba381da
151362004ca
hexbb79f674

3145332340 has 48 divisors (see below), whose sum is σ = 6955724160. Its totient is φ = 1192371840.

The previous prime is 3145332301. The next prime is 3145332341. The reversal of 3145332340 is 432335413.

It is a junction number, because it is equal to n+sod(n) for n = 3145332299 and 3145332308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145332341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18775 + ... + 81505.

It is an arithmetic number, because the mean of its divisors is an integer number (144910920).

Almost surely, 23145332340 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 3145332340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477862080).

3145332340 is an abundant number, since it is smaller than the sum of its proper divisors (3810391820).

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

3145332340 is a wasteful number, since it uses less digits than its factorization.

3145332340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62872 (or 62870 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The square root of 3145332340 is about 56083.2625655819. The cubic root of 3145332340 is about 1465.1727970064.

Adding to 3145332340 its reverse (432335413), we get a palindrome (3577667753).

The spelling of 3145332340 in words is "three billion, one hundred forty-five million, three hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 109 115 218 230 436 460 545 1090 2180 2507 5014 10028 12535 25070 50140 62731 125462 250924 313655 627310 1254620 1442813 2885626 5771252 6837679 7214065 13675358 14428130 27350716 28856260 34188395 68376790 136753580 157266617 314533234 629066468 786333085 1572666170 3145332340