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3434330412 = 223217311571153
BaseRepresentation
bin1100110010110011…
…1011100100101100
322212100022001122200
43030230323210230
524013142033122
61324441341500
7151051220052
oct31454734454
98770261580
103434330412
1115026542a7
127ba197890
13429685b96
142481861d2
151517895ac
hexccb3b92c

3434330412 has 144 divisors (see below), whose sum is σ = 9557114112. Its totient is φ = 1035141120.

The previous prime is 3434330387. The next prime is 3434330413. The reversal of 3434330412 is 2140334343.

3434330412 is a `hidden beast` number, since 3 + 4 + 343 + 304 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (3434330413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2978028 + ... + 2979180.

It is an arithmetic number, because the mean of its divisors is an integer number (66368848).

Almost surely, 23434330412 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 3434330412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778557056).

3434330412 is an abundant number, since it is smaller than the sum of its proper divisors (6122783700).

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

3434330412 is a wasteful number, since it uses less digits than its factorization.

3434330412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3434330412 is about 58603.1604267210. The cubic root of 3434330412 is about 1508.7386820938.

Adding to 3434330412 its reverse (2140334343), we get a palindrome (5574664755).

The spelling of 3434330412 in words is "three billion, four hundred thirty-four million, three hundred thirty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 157 186 204 279 306 314 372 471 527 558 612 628 942 1054 1116 1153 1413 1581 1884 2108 2306 2669 2826 3162 3459 4612 4743 4867 5338 5652 6324 6918 8007 9486 9734 10377 10676 13836 14601 16014 18972 19468 19601 20754 24021 29202 32028 35743 39202 41508 43803 48042 58404 58803 71486 78404 82739 87606 96084 107229 117606 142972 165478 175212 176409 181021 214458 235212 248217 321687 330956 352818 362042 428916 496434 543063 607631 643374 705636 724084 744651 992868 1086126 1215262 1286748 1489302 1629189 1822893 2172252 2430524 2978604 3077357 3258378 3645786 5468679 5611651 6154714 6516756 7291572 9232071 10937358 11223302 12309428 16834953 18464142 21874716 22446604 27696213 33669906 36928284 50504859 55392426 67339812 95398067 101009718 110784852 190796134 202019436 286194201 381592268 572388402 858582603 1144776804 1717165206 3434330412