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3196414224 = 243830449
BaseRepresentation
bin1011111010000101…
…0110100100010000
322020202121200000000
42332201112210100
523021240223344
61245102130000
7142132033623
oct27641264420
98222550000
103196414224
1113a0324353
12752580900
133bc2b4683
14224733dba
1513a940a69
hexbe856910

3196414224 has 90 divisors (see below), whose sum is σ = 9289411950. Its totient is φ = 1065436416.

The previous prime is 3196414157. The next prime is 3196414229. The reversal of 3196414224 is 4224146913.

3196414224 is a `hidden beast` number, since 3 + 1 + 9 + 641 + 4 + 2 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2146654224 + 1049760000 = 46332^2 + 32400^2 .

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 not an unprimeable number, because it can be changed into a prime (3196414229) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 89752 + ... + 120200.

Almost surely, 23196414224 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 3196414224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644705975).

3196414224 is an abundant number, since it is smaller than the sum of its proper divisors (6092997726).

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

3196414224 is an frugal number, since it uses more digits than its factorization.

3196414224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30481 (or 30454 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3196414224 is about 56536.8395296377. The cubic root of 3196414224 is about 1473.0619724135.

The spelling of 3196414224 in words is "three billion, one hundred ninety-six million, four hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4374 5832 6561 8748 11664 13122 17496 26244 30449 34992 52488 60898 91347 104976 121796 182694 243592 274041 365388 487184 548082 730776 822123 1096164 1461552 1644246 2192328 2466369 3288492 4384656 4932738 6576984 7399107 9865476 13153968 14798214 19730952 22197321 29596428 39461904 44394642 59192856 66591963 88789284 118385712 133183926 177578568 199775889 266367852 355157136 399551778 532735704 799103556 1065471408 1598207112 3196414224