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3230100 = 2232523797
BaseRepresentation
bin1100010100100110010100
320002002212100
430110212110
51311330400
6153122100
736312126
oct14244624
96062770
103230100
111906905
1210b9330
13891303
14601216
1543c100
hex314994

3230100 has 108 divisors (see below), whose sum is σ = 10505404. Its totient is φ = 829440.

The previous prime is 3230099. The next prime is 3230113. The reversal of 3230100 is 10323.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 11664 + 3218436 = 108^2 + 1794^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33252 + ... + 33348.

Almost surely, 23230100 is an apocalyptic number.

3230100 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 3230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5252702).

3230100 is an abundant number, since it is smaller than the sum of its proper divisors (7275304).

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

3230100 is a wasteful number, since it uses less digits than its factorization.

3230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3230100 is about 1797.2478960900. The cubic root of 3230100 is about 147.8218577347.

Adding to 3230100 its reverse (10323), we get a palindrome (3240423).

The spelling of 3230100 in words is "three million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 97 100 111 148 150 180 185 194 222 225 291 300 333 370 388 444 450 485 555 582 666 740 873 900 925 970 1110 1164 1332 1455 1665 1746 1850 1940 2220 2425 2775 2910 3330 3492 3589 3700 4365 4850 5550 5820 6660 7178 7275 8325 8730 9700 10767 11100 14356 14550 16650 17460 17945 21534 21825 29100 32301 33300 35890 43068 43650 53835 64602 71780 87300 89725 107670 129204 161505 179450 215340 269175 323010 358900 538350 646020 807525 1076700 1615050 3230100