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323011020 = 223519674229
BaseRepresentation
bin10011010000001…
…100000111001100
3211111210122211010
4103100030013030
51130142323040
652015125220
711001356043
oct2320140714
9744718733
10323011020
11156370a62
1290213810
1351bc68a7
1430c8355a
151d556e80
hex1340c1cc

323011020 has 96 divisors (see below), whose sum is σ = 966470400. Its totient is φ = 80365824.

The previous prime is 323010977. The next prime is 323011027. The reversal of 323011020 is 20110323.

It is a happy number.

It is a super-2 number, since 2×3230110202 = 208672238082880800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 323010987 and 323011005.

It is not an unprimeable number, because it can be changed into a prime (323011027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 74266 + ... + 78494.

It is an arithmetic number, because the mean of its divisors is an integer number (10067400).

Almost surely, 2323011020 is an apocalyptic number.

323011020 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 323011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483235200).

323011020 is an abundant number, since it is smaller than the sum of its proper divisors (643459380).

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

323011020 is a wasteful number, since it uses less digits than its factorization.

323011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4327 (or 4325 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 323011020 is about 17972.5073375976. The cubic root of 323011020 is about 686.1290064424.

Adding to 323011020 its reverse (20110323), we get a palindrome (343121343).

The spelling of 323011020 in words is "three hundred twenty-three million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 67 76 95 114 134 190 201 228 268 285 335 380 402 570 670 804 1005 1140 1273 1340 2010 2546 3819 4020 4229 5092 6365 7638 8458 12687 12730 15276 16916 19095 21145 25374 25460 38190 42290 50748 63435 76380 80351 84580 126870 160702 241053 253740 283343 321404 401755 482106 566686 803510 850029 964212 1133372 1205265 1416715 1607020 1700058 2410530 2833430 3400116 4250145 4821060 5383517 5666860 8500290 10767034 16150551 17000580 21534068 26917585 32301102 53835170 64602204 80752755 107670340 161505510 323011020