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3145336744 = 2311971572347
BaseRepresentation
bin1011101101111010…
…0000011110101000
322010012111122212111
42323132200132220
522420201233434
61240035252104
7140641630654
oct27336403650
98105448774
103145336744
111374508060
1273944a034
133b183ca04
1421ba39a64
15136201964
hexbb7a07a8

3145336744 has 64 divisors (see below), whose sum is σ = 6544157760. Its totient is φ = 1405347840.

The previous prime is 3145336721. The next prime is 3145336751. The reversal of 3145336744 is 4476335413.

It is a junction number, because it is equal to n+sod(n) for n = 3145336697 and 3145336706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1338979 + ... + 1341325.

It is an arithmetic number, because the mean of its divisors is an integer number (102252465).

Almost surely, 23145336744 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 3145336744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3272078880).

3145336744 is an abundant number, since it is smaller than the sum of its proper divisors (3398821016).

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

3145336744 is a wasteful number, since it uses less digits than its factorization.

3145336744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2614 counting only the distinct ones).

The product of its digits is 362880, while the sum is 40.

The square root of 3145336744 is about 56083.3018286192. The cubic root of 3145336744 is about 1465.1734808364.

It can be divided in two parts, 3145 and 336744, that added together give a square (339889 = 5832).

The spelling of 3145336744 in words is "three billion, one hundred forty-five million, three hundred thirty-six thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 97 157 194 314 388 628 776 1067 1256 1727 2134 2347 3454 4268 4694 6908 8536 9388 13816 15229 18776 25817 30458 51634 60916 103268 121832 167519 206536 227659 335038 368479 455318 670076 736958 910636 1340152 1473916 1821272 2504249 2947832 4053269 5008498 8106538 10016996 16213076 20033992 32426152 35742463 71484926 142969852 285939704 393167093 786334186 1572668372 3145336744