Search a number
-
+
4351428630 = 2325172844071
BaseRepresentation
bin1000000110101110…
…11000100000010110
3102020020222110220100
410003113120200112
532402431204010
61555442114530
7212555350563
oct40327304026
912206873810
104351428630
1119332a480a
12a1534ba46
13544687c53
142d3cb386a
151a70422c0
hex1035d8816

4351428630 has 48 divisors (see below), whose sum is σ = 11979231264. Its totient is φ = 1092122880.

The previous prime is 4351428629. The next prime is 4351428671. The reversal of 4351428630 is 368241534.

4351428630 is a `hidden beast` number, since 4 + 3 + 5 + 14 + 2 + 8 + 630 = 666.

It is a super-3 number, since 3×43514286303 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1420506 + ... + 1423565.

It is an arithmetic number, because the mean of its divisors is an integer number (249567318).

Almost surely, 24351428630 is an apocalyptic number.

4351428630 is an abundant number, since it is smaller than the sum of its proper divisors (7627802634).

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

4351428630 is a wasteful number, since it uses less digits than its factorization.

4351428630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844101 (or 2844098 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4351428630 is about 65965.3593183574. The cubic root of 4351428630 is about 1632.5905874169.

The spelling of 4351428630 in words is "four billion, three hundred fifty-one million, four hundred twenty-eight thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 2844071 5688142 8532213 14220355 17064426 25596639 28440710 42661065 48349207 51193278 85322130 96698414 127983195 145047621 241746035 255966390 290095242 435142863 483492070 725238105 870285726 1450476210 2175714315 4351428630