Search a number
-
+
3425351076 = 2232723162639
BaseRepresentation
bin1100110000101010…
…1011010110100100
322211201101212022200
43030022223112210
524003342213301
61323521054500
7150612001200
oct31412532644
98751355280
103425351076
1114a8580a64
127b7187430
13427860a74
14246cc9b00
15150ab3c86
hexcc2ab5a4

3425351076 has 108 divisors (see below), whose sum is σ = 10397237760. Its totient is φ = 947086560.

The previous prime is 3425351071. The next prime is 3425351077. The reversal of 3425351076 is 6701535243.

3425351076 is a `hidden beast` number, since 3 + 42 + 535 + 10 + 76 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3425351076.

It is not an unprimeable number, because it can be changed into a prime (3425351071) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23365 + ... + 86003.

It is an arithmetic number, because the mean of its divisors is an integer number (96270720).

Almost surely, 23425351076 is an apocalyptic number.

3425351076 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 3425351076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198618880).

3425351076 is an abundant number, since it is smaller than the sum of its proper divisors (6971886684).

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

3425351076 is a wasteful number, since it uses less digits than its factorization.

3425351076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62694 (or 62682 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3425351076 is about 58526.4989214287. The cubic root of 3425351076 is about 1507.4226278120.

The spelling of 3425351076 in words is "three billion, four hundred twenty-five million, three hundred fifty-one thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 49 62 63 84 93 98 124 126 147 186 196 217 252 279 294 372 434 441 558 588 651 868 882 1116 1302 1519 1764 1953 2604 3038 3906 4557 6076 7812 9114 13671 18228 27342 54684 62639 125278 187917 250556 375834 438473 563751 751668 876946 1127502 1315419 1753892 1941809 2255004 2630838 3069311 3883618 3946257 5261676 5825427 6138622 7767236 7892514 9207933 11650854 12277244 13592663 15785028 17476281 18415866 23301708 27185326 27623799 34952562 36831732 40777989 54370652 55247598 69905124 81555978 95148641 110495196 122333967 163111956 190297282 244667934 285445923 380594564 489335868 570891846 856337769 1141783692 1712675538 3425351076