Search a number
-
+
3425250300 = 2235227142131
BaseRepresentation
bin1100110000101001…
…0010101111111100
322211201012202002020
43030022102233330
524003331002200
61323515000140
7150611101323
oct31412225774
98751182066
103425250300
1114a851227a
127b7139050
13427826c34
14246ca10ba
15150a93ea0
hexcc292bfc

3425250300 has 72 divisors (see below), whose sum is σ = 9947196672. Its totient is φ = 910008000.

The previous prime is 3425250281. The next prime is 3425250401. The reversal of 3425250300 is 30525243.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 60235 + ... + 102365.

Almost surely, 23425250300 is an apocalyptic number.

3425250300 is a gapful number since it is divisible by the number (30) 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 3425250300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4973598336).

3425250300 is an abundant number, since it is smaller than the sum of its proper divisors (6521946372).

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

3425250300 is a wasteful number, since it uses less digits than its factorization.

3425250300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42419 (or 42412 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 3425250300 is about 58525.6379717470. The cubic root of 3425250300 is about 1507.4078445573.

Adding to 3425250300 its reverse (30525243), we get a palindrome (3455775543).

The spelling of 3425250300 in words is "three billion, four hundred twenty-five million, two hundred fifty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 271 300 542 813 1084 1355 1626 2710 3252 4065 5420 6775 8130 13550 16260 20325 27100 40650 42131 81300 84262 126393 168524 210655 252786 421310 505572 631965 842620 1053275 1263930 2106550 2527860 3159825 4213100 6319650 11417501 12639300 22835002 34252503 45670004 57087505 68505006 114175010 137010012 171262515 228350020 285437525 342525030 570875050 685050060 856312575 1141750100 1712625150 3425250300