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3312030440 = 235177366721
BaseRepresentation
bin1100010101101001…
…1001001011101000
322112211011120122002
43011122121023220
523240334433230
61304352150132
7145034536265
oct30532311350
98484146562
103312030440
11144a611544
12785238348
1340a235134
14235c2c26c
15145b7c545
hexc56992e8

3312030440 has 64 divisors (see below), whose sum is σ = 7998633360. Its totient is φ = 1229783040.

The previous prime is 3312030439. The next prime is 3312030443. The reversal of 3312030440 is 440302133.

It can be written as a sum of positive squares in 8 ways, for example, as 1935472036 + 1376558404 = 43994^2 + 37102^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3312030443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16280 + ... + 83000.

Almost surely, 23312030440 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 3312030440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999316680).

3312030440 is an abundant number, since it is smaller than the sum of its proper divisors (4686602920).

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

3312030440 is a wasteful number, since it uses less digits than its factorization.

3312030440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66822 (or 66818 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3312030440 is about 57550.2427449268. The cubic root of 3312030440 is about 1490.6125493674.

Adding to 3312030440 its reverse (440302133), we get a palindrome (3752332573).

The spelling of 3312030440 in words is "three billion, three hundred twelve million, thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 73 85 136 146 170 292 340 365 584 680 730 1241 1460 2482 2920 4964 6205 9928 12410 24820 49640 66721 133442 266884 333605 533768 667210 1134257 1334420 2268514 2668840 4537028 4870633 5671285 9074056 9741266 11342570 19482532 22685140 24353165 38965064 45370280 48706330 82800761 97412660 165601522 194825320 331203044 414003805 662406088 828007610 1656015220 3312030440