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3111323424 = 253114796151
BaseRepresentation
bin1011100101110011…
…0000011100100000
322000211111121100220
42321130300130200
522332444322144
61232422243040
7140046545526
oct27134603440
98024447326
103111323424
111357296380
12729b86480
133a77910a1
14217304316
15133233919
hexb9730720

3111323424 has 96 divisors (see below), whose sum is σ = 8929751040. Its totient is φ = 940704000.

The previous prime is 3111323407. The next prime is 3111323497. The reversal of 3111323424 is 4243231113.

It is a happy number.

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 (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3111323394 and 3111323403.

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, 502749 + ... + 508899.

It is an arithmetic number, because the mean of its divisors is an integer number (93018240).

Almost surely, 23111323424 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 3111323424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464875520).

3111323424 is an abundant number, since it is smaller than the sum of its proper divisors (5818427616).

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

3111323424 is a wasteful number, since it uses less digits than its factorization.

3111323424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6654 (or 6646 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 3111323424 is about 55779.2382880943. The cubic root of 3111323424 is about 1459.8729206963.

Adding to 3111323424 its reverse (4243231113), we get a palindrome (7354554537).

The spelling of 3111323424 in words is "three billion, one hundred eleven million, three hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 479 528 958 1056 1437 1916 2874 3832 5269 5748 6151 7664 10538 11496 12302 15328 15807 18453 21076 22992 24604 31614 36906 42152 45984 49208 63228 67661 73812 84304 98416 126456 135322 147624 168608 196832 202983 252912 270644 295248 405966 505824 541288 590496 811932 1082576 1623864 2165152 2946329 3247728 5892658 6495456 8838987 11785316 17677974 23570632 32409619 35355948 47141264 64819238 70711896 94282528 97228857 129638476 141423792 194457714 259276952 282847584 388915428 518553904 777830856 1037107808 1555661712 3111323424