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3442314304 = 261113376127
BaseRepresentation
bin1100110100101101…
…1000110001000000
322212220022200111101
43031023120301000
524022213024204
61325324424144
7151206121522
oct31513306100
98786280441
103442314304
111507107760
128009a8054
1342b21cb90
14249263a12
15152314ea4
hexcd2d8c40

3442314304 has 56 divisors (see below), whose sum is σ = 8025067008. Its totient is φ = 1444323840.

The previous prime is 3442314287. The next prime is 3442314397. The reversal of 3442314304 is 4034132443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178912 + ... + 197215.

It is an arithmetic number, because the mean of its divisors is an integer number (143304768).

Almost surely, 23442314304 is an apocalyptic number.

It is an amenable number.

3442314304 is an abundant number, since it is smaller than the sum of its proper divisors (4582752704).

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

3442314304 is a wasteful number, since it uses less digits than its factorization.

3442314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376163 (or 376153 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 3442314304 is about 58671.2391551431. The cubic root of 3442314304 is about 1509.9069141337.

Adding to 3442314304 its reverse (4034132443), we get a palindrome (7476446747).

The spelling of 3442314304 in words is "three billion, four hundred forty-two million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 2288 4576 9152 376127 752254 1504508 3009016 4137397 4889651 6018032 8274794 9779302 12036064 16549588 19558604 24072128 33099176 39117208 53786161 66198352 78234416 107572322 132396704 156468832 215144644 264793408 312937664 430289288 860578576 1721157152 3442314304