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3230430040 = 2352337432207
BaseRepresentation
bin1100000010001100…
…0111001101011000
322100010121211221001
43000203013031120
523103442230130
61252315154344
7143024126245
oct30043071530
98303554831
103230430040
1114085479a2
12761a459b4
133c6364486
1422906a5cc
1513d90e6ca
hexc08c7358

3230430040 has 128 divisors (see below), whose sum is σ = 7974236160. Its totient is φ = 1174086144.

The previous prime is 3230430037. The next prime is 3230430041. The reversal of 3230430040 is 400340323.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3230430041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1462617 + ... + 1464823.

It is an arithmetic number, because the mean of its divisors is an integer number (62298720).

Almost surely, 23230430040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3230430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987118080).

3230430040 is an abundant number, since it is smaller than the sum of its proper divisors (4743806120).

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

3230430040 is a wasteful number, since it uses less digits than its factorization.

3230430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 3230430040 is about 56836.8721869879. The cubic root of 3230430040 is about 1478.2689219846.

Adding to 3230430040 its reverse (400340323), we get a palindrome (3630770363).

The spelling of 3230430040 in words is "three billion, two hundred thirty million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 37 40 43 46 74 86 92 115 148 172 184 185 215 230 296 344 370 430 460 740 851 860 920 989 1480 1591 1702 1720 1978 2207 3182 3404 3956 4255 4414 4945 6364 6808 7912 7955 8510 8828 9890 11035 12728 15910 17020 17656 19780 22070 31820 34040 36593 39560 44140 50761 63640 73186 81659 88280 94901 101522 146372 163318 182965 189802 203044 253805 292744 326636 365930 379604 406088 408295 474505 507610 653272 731860 759208 816590 949010 1015220 1463720 1633180 1878157 1898020 2030440 2182723 3266360 3511337 3756314 3796040 4365446 7022674 7512628 8730892 9390785 10913615 14045348 15025256 17461784 17556685 18781570 21827230 28090696 35113370 37563140 43654460 70226740 75126280 80760751 87308920 140453480 161521502 323043004 403803755 646086008 807607510 1615215020 3230430040