Search a number
-
+
3425200110 = 23251910319447
BaseRepresentation
bin1100110000101000…
…0110011111101110
322211201010012020100
43030022012133232
524003322400420
61323513531530
7150610502103
oct31412063756
98751105210
103425200110
1114a84885a2
127b7113ba6
1342780a137
14246c8aaaa
15150a84190
hexcc2867ee

3425200110 has 96 divisors (see below), whose sum is σ = 9465730560. Its totient is φ = 856868544.

The previous prime is 3425200087. The next prime is 3425200111. The reversal of 3425200110 is 110025243.

3425200110 is a `hidden beast` number, since 34 + 2 + 520 + 0 + 110 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3425200111) 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, 166407 + ... + 185853.

It is an arithmetic number, because the mean of its divisors is an integer number (98601360).

Almost surely, 23425200110 is an apocalyptic number.

3425200110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3425200110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4732865280).

3425200110 is an abundant number, since it is smaller than the sum of its proper divisors (6040530450).

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

3425200110 is a wasteful number, since it uses less digits than its factorization.

3425200110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19582 (or 19579 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3425200110 is about 58525.2091837355. The cubic root of 3425200110 is about 1507.4004818672.

Adding to 3425200110 its reverse (110025243), we get a palindrome (3535225353).

The spelling of 3425200110 in words is "three billion, four hundred twenty-five million, two hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 103 114 171 190 206 285 309 342 515 570 618 855 927 1030 1545 1710 1854 1957 3090 3914 4635 5871 9270 9785 11742 17613 19447 19570 29355 35226 38894 58341 58710 88065 97235 116682 175023 176130 194470 291705 350046 369493 583410 738986 875115 1108479 1750230 1847465 2003041 2216958 3325437 3694930 4006082 5542395 6009123 6650874 10015205 11084790 12018246 16627185 18027369 20030410 30045615 33254370 36054738 38057779 60091230 76115558 90136845 114173337 180273690 190288895 228346674 342520011 380577790 570866685 685040022 1141733370 1712600055 3425200110