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3113936224 = 25741409829
BaseRepresentation
bin1011100110011010…
…1110010101100000
322001000102100110021
42321212232111200
522334131424344
61232554243224
7140111010160
oct27146562540
98030370407
103113936224
111358810413
1272aa26514
133a8197419
142177c45a0
1513359cb84
hexb99ae560

3113936224 has 96 divisors (see below), whose sum is σ = 7203470400. Its totient is φ = 1297244160.

The previous prime is 3113936209. The next prime is 3113936237. The reversal of 3113936224 is 4226393113.

3113936224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (23328) is a multiple of the sum of its prime factors (1296).

It is a self number, because there is not a number n which added to its sum of digits gives 3113936224.

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, 3755842 + ... + 3756670.

It is an arithmetic number, because the mean of its divisors is an integer number (75036150).

Almost surely, 23113936224 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 3113936224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601735200).

3113936224 is an abundant number, since it is smaller than the sum of its proper divisors (4089534176).

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

3113936224 is a wasteful number, since it uses less digits than its factorization.

3113936224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1288 counting only the distinct ones).

The product of its digits is 23328, while the sum is 34.

The square root of 3113936224 is about 55802.6542737888. The cubic root of 3113936224 is about 1460.2814594665.

The spelling of 3113936224 in words is "three billion, one hundred thirteen million, nine hundred thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 409 574 656 818 829 1148 1312 1636 1658 2296 2863 3272 3316 4592 5726 5803 6544 6632 9184 11452 11606 13088 13264 16769 22904 23212 26528 33538 33989 45808 46424 67076 67978 91616 92848 117383 134152 135956 185696 234766 237923 268304 271912 339061 469532 475846 536608 543824 678122 939064 951692 1087648 1356244 1878128 1903384 2373427 2712488 3756256 3806768 4746854 5424976 7613536 9493708 10849952 13901501 18987416 27803002 37974832 55606004 75949664 97310507 111212008 194621014 222424016 389242028 444848032 778484056 1556968112 3113936224