Search a number
-
+
3113227392 = 27311267003
BaseRepresentation
bin1011100110010000…
…0001010010000000
322000222002100010020
42321210001102000
522333441234032
61232531133440
7140101665462
oct27144012200
98028070106
103113227392
111358376900
1272a744280
133a7ca98b2
1421767c132
151334acb2c
hexb9901480

3113227392 has 96 divisors (see below), whose sum is σ = 9089762640. Its totient is φ = 943388160.

The previous prime is 3113227363. The next prime is 3113227417. The reversal of 3113227392 is 2937223113.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12963 + ... + 79965.

Almost surely, 23113227392 is an apocalyptic number.

3113227392 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113227392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4544881320).

3113227392 is an abundant number, since it is smaller than the sum of its proper divisors (5976535248).

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

3113227392 is a wasteful number, since it uses less digits than its factorization.

3113227392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67042 (or 67019 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 3113227392 is about 55796.3026732059. The cubic root of 3113227392 is about 1460.1706487216.

The spelling of 3113227392 in words is "three billion, one hundred thirteen million, two hundred twenty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1408 1452 1936 2112 2904 3872 4224 5808 7744 11616 15488 23232 46464 67003 134006 201009 268012 402018 536024 737033 804036 1072048 1474066 1608072 2144096 2211099 2948132 3216144 4288192 4422198 5896264 6432288 8107363 8576384 8844396 11792528 12864576 16214726 17688792 23585056 24322089 25729152 32429452 35377584 47170112 48644178 64858904 70755168 94340224 97288356 129717808 141510336 194576712 259435616 283020672 389153424 518871232 778306848 1037742464 1556613696 3113227392