Search a number
-
+
34801002630 = 23253111243337
BaseRepresentation
bin100000011010010011…
…010010100010000110
310022211100020002212100
4200122103102202012
51032233024041010
623553134132530
72341254433032
oct403223224206
9108740202770
1034801002630
11138392933a9
1268b2951146
133387c2ab64
141981d091c2
15d8a3732c0
hex81a4d2886

34801002630 has 48 divisors (see below), whose sum is σ = 90773620704. Its totient is φ = 9250419840.

The previous prime is 34801002601. The next prime is 34801002647. The reversal of 34801002630 is 3620010843.

It is a happy number.

It is a super-2 number, since 2×348010026302 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34801002594 and 34801002603.

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, 593679 + ... + 649658.

It is an arithmetic number, because the mean of its divisors is an integer number (1891117098).

Almost surely, 234801002630 is an apocalyptic number.

34801002630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34801002630 is an abundant number, since it is smaller than the sum of its proper divisors (55972618074).

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

34801002630 is a wasteful number, since it uses less digits than its factorization.

34801002630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243661 (or 1243658 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 34801002630 in words is "thirty-four billion, eight hundred one million, two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 311 622 933 1555 1866 2799 3110 4665 5598 9330 13995 27990 1243337 2486674 3730011 6216685 7460022 11190033 12433370 18650055 22380066 37300110 55950165 111900330 386677807 773355614 1160033421 1933389035 2320066842 3480100263 3866778070 5800167105 6960200526 11600334210 17400501315 34801002630