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3425830074 = 2321923714249
BaseRepresentation
bin1100110000110010…
…0000010010111010
322211202022012101100
43030030200102322
524004003030244
61323535232230
7150616034532
oct31414402272
98752265340
103425830074
1114a8878927
127b7378676
1342799aab4
14246db24c2
15150b5ab69
hexcc3204ba

3425830074 has 72 divisors (see below), whose sum is σ = 8046148500. Its totient is φ = 1052528256.

The previous prime is 3425830073. The next prime is 3425830087. The reversal of 3425830074 is 4700385243.

It is a happy number.

3425830074 is a `hidden beast` number, since 3 + 4 + 2 + 583 + 0 + 0 + 74 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3025550025 + 400280049 = 55005^2 + 20007^2 .

It is not an unprimeable number, because it can be changed into a prime (3425830073) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 233302 + ... + 247550.

Almost surely, 23425830074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3425830074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023074250).

3425830074 is an abundant number, since it is smaller than the sum of its proper divisors (4620318426).

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

3425830074 is a wasteful number, since it uses less digits than its factorization.

3425830074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14332 (or 14310 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3425830074 is about 58530.5909247464. The cubic root of 3425830074 is about 1507.4928900764.

The spelling of 3425830074 in words is "three billion, four hundred twenty-five million, eight hundred thirty thousand, seventy-four".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 222 333 342 361 666 703 722 1083 1406 2109 2166 3249 4218 6327 6498 12654 13357 14249 26714 28498 40071 42747 80142 85494 120213 128241 240426 256482 270731 527213 541462 812193 1054426 1581639 1624386 2436579 3163278 4744917 4873158 5143889 9489834 10017047 10287778 15431667 20034094 30051141 30863334 46295001 60102282 90153423 92590002 180306846 190323893 380647786 570971679 1141943358 1712915037 3425830074