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3426233304 = 23313291073539
BaseRepresentation
bin1100110000111000…
…0010101111011000
322211210001200111210
43030032002233120
524004103431204
61323552023120
7150622334244
oct31416025730
98753050453
103426233304
1114a902387a
127b7531aa0
13427aac4b0
14247079424
15150bda389
hexcc382bd8

3426233304 has 128 divisors (see below), whose sum is σ = 9634464000. Its totient is φ = 1008075264.

The previous prime is 3426233287. The next prime is 3426233339. The reversal of 3426233304 is 4033326243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 966367 + ... + 969905.

It is an arithmetic number, because the mean of its divisors is an integer number (75269250).

Almost surely, 23426233304 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 3426233304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4817232000).

3426233304 is an abundant number, since it is smaller than the sum of its proper divisors (6208230696).

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

3426233304 is a wasteful number, since it uses less digits than its factorization.

3426233304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697 (or 3693 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

The square root of 3426233304 is about 58534.0354323875. The cubic root of 3426233304 is about 1507.5520331646.

Adding to 3426233304 its reverse (4033326243), we get a palindrome (7459559547).

The spelling of 3426233304 in words is "three billion, four hundred twenty-six million, two hundred thirty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 107 116 156 174 214 232 312 321 348 377 428 642 696 754 856 1131 1284 1391 1508 2262 2568 2782 3016 3103 3539 4173 4524 5564 6206 7078 8346 9048 9309 10617 11128 12412 14156 16692 18618 21234 24824 28312 33384 37236 40339 42468 46007 74472 80678 84936 92014 102631 121017 138021 161356 184028 205262 242034 276042 307893 322712 368056 378673 410524 484068 552084 615786 757346 821048 968136 1104168 1136019 1231572 1334203 1514692 2272038 2463144 2668406 3029384 4002609 4544076 4922749 5336812 8005218 9088152 9845498 10673624 10981517 14768247 16010436 19690996 21963034 29536494 32020872 32944551 39381992 43926068 59072988 65889102 87852136 118145976 131778204 142759721 263556408 285519442 428279163 571038884 856558326 1142077768 1713116652 3426233304