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3240242190 = 23552694957
BaseRepresentation
bin1100000100100010…
…0010110000001110
322100211002100200000
43001020202300032
523114000222230
61253305345130
7143203414143
oct30110426016
98324070600
103240242190
111413039a09
127651981a6
133c83bb693
1422a4a23ca
1513e6ebb60
hexc1222c0e

3240242190 has 96 divisors (see below), whose sum is σ = 8770900320. Its totient is φ = 860678784.

The previous prime is 3240242147. The next prime is 3240242219. The reversal of 3240242190 is 912420423.

3240242190 is a `hidden beast` number, since 32 + 402 + 42 + 190 = 666.

It is a super-2 number, since 2×32402421902 = 20998338899711992200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651192 + ... + 656148.

It is an arithmetic number, because the mean of its divisors is an integer number (91363545).

Almost surely, 23240242190 is an apocalyptic number.

3240242190 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 3240242190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4385450160).

3240242190 is an abundant number, since it is smaller than the sum of its proper divisors (5530658130).

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

3240242190 is a wasteful number, since it uses less digits than its factorization.

3240242190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5248 (or 5236 counting only the distinct ones).

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

The square root of 3240242190 is about 56923.1252655720. The cubic root of 3240242190 is about 1479.7641135502.

The spelling of 3240242190 in words is "three billion, two hundred forty million, two hundred forty-two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 269 270 405 486 538 807 810 1215 1345 1614 2421 2430 2690 4035 4842 4957 7263 8070 9914 12105 14526 14871 21789 24210 24785 29742 36315 43578 44613 49570 65367 72630 74355 89226 108945 130734 133839 148710 217890 223065 267678 326835 401517 446130 653670 669195 803034 1204551 1333433 1338390 2007585 2409102 2666866 4000299 4015170 6022755 6667165 8000598 12000897 12045510 13334330 20001495 24001794 36002691 40002990 60004485 72005382 108008073 120008970 180013455 216016146 324024219 360026910 540040365 648048438 1080080730 1620121095 3240242190