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3223423296 = 26339719231
BaseRepresentation
bin1100000000100001…
…1000100101000000
322022122102212111000
43000020120211000
523100144021141
61251505052000
7142610434362
oct30010304500
98278385430
103223423296
1114045a16a5
1275b627000
133c4a80182
14228164d32
1513cec85b6
hexc0218940

3223423296 has 112 divisors (see below), whose sum is σ = 9574458880. Its totient is φ = 1063342080.

The previous prime is 3223423267. The next prime is 3223423327. The reversal of 3223423296 is 6923243223.

It is a happy number.

3223423296 is a `hidden beast` number, since 3 + 22 + 342 + 3 + 296 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3223423296.

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, 158001 + ... + 177231.

It is an arithmetic number, because the mean of its divisors is an integer number (85486240).

Almost surely, 23223423296 is an apocalyptic number.

3223423296 is a gapful number since it is divisible by the number (36) 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 3223423296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787229440).

3223423296 is an abundant number, since it is smaller than the sum of its proper divisors (6351035584).

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

3223423296 is a wasteful number, since it uses less digits than its factorization.

3223423296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19349 (or 19333 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 3223423296 is about 56775.1996561879. The cubic root of 3223423296 is about 1477.1993688630.

The spelling of 3223423296 in words is "three billion, two hundred twenty-three million, four hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 97 108 144 192 194 216 288 291 388 432 576 582 776 864 873 1164 1552 1728 1746 2328 2619 3104 3492 4656 5238 6208 6984 9312 10476 13968 18624 19231 20952 27936 38462 41904 55872 57693 76924 83808 115386 153848 167616 173079 230772 307696 346158 461544 519237 615392 692316 923088 1038474 1230784 1384632 1846176 1865407 2076948 2769264 3692352 3730814 4153896 5538528 5596221 7461628 8307792 11077056 11192442 14923256 16615584 16788663 22384884 29846512 33231168 33577326 44769768 50365989 59693024 67154652 89539536 100731978 119386048 134309304 179079072 201463956 268618608 358158144 402927912 537237216 805855824 1074474432 1611711648 3223423296