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3015264340 = 2251125323509
BaseRepresentation
bin1011001110111001…
…0100100001010100
321210010202022002001
42303232110201110
522133401424330
61215111325044
7134502216064
oct26356244124
97703668061
103015264340
111308046800
12701980784
133908ca2aa
1420865b3a4
15129aab9ca
hexb3b94854

3015264340 has 72 divisors (see below), whose sum is σ = 7091650440. Its totient is φ = 1075726080.

The previous prime is 3015264319. The next prime is 3015264379. The reversal of 3015264340 is 434625103.

It can be written as a sum of positive squares in 4 ways, for example, as 1441872784 + 1573391556 = 37972^2 + 39666^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3015264299 and 3015264308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116506 + ... + 140014.

It is an arithmetic number, because the mean of its divisors is an integer number (98495145).

Almost surely, 23015264340 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 3015264340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545825220).

3015264340 is an abundant number, since it is smaller than the sum of its proper divisors (4076386100).

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

3015264340 is a wasteful number, since it uses less digits than its factorization.

3015264340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23593 (or 23580 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 3015264340 is about 54911.4226732471. The cubic root of 3015264340 is about 1444.6915430567.

Adding to 3015264340 its reverse (434625103), we get a palindrome (3449889443).

The spelling of 3015264340 in words is "three billion, fifteen million, two hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 121 212 220 242 265 484 530 583 605 1060 1166 1210 2332 2420 2915 5830 6413 11660 12826 23509 25652 32065 47018 64130 94036 117545 128260 235090 258599 470180 517198 1034396 1245977 1292995 2491954 2585990 2844589 4983908 5171980 5689178 6229885 11378356 12459770 13705747 14222945 24919540 27411494 28445890 54822988 56891780 68528735 137057470 150763217 274114940 301526434 603052868 753816085 1507632170 3015264340