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3031300032 = 263311134507
BaseRepresentation
bin1011010010101101…
…1111011111000000
321211020220222220120
42310223133133000
522202003100112
61220443140240
7135055424265
oct26453373700
97736828816
103031300032
1113160a9642
12707214680
13394023177
1420a83326c
1512b1c7e8c
hexb4adf7c0

3031300032 has 112 divisors (see below), whose sum is σ = 8354153472. Its totient is φ = 968970240.

The previous prime is 3031300003. The next prime is 3031300043. The reversal of 3031300032 is 2300031303.

It is a junction number, because it is equal to n+sod(n) for n = 3031299984 and 3031300020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670323 + ... + 674829.

It is an arithmetic number, because the mean of its divisors is an integer number (74590656).

Almost surely, 23031300032 is an apocalyptic number.

3031300032 is a gapful number since it is divisible by the number (32) 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 3031300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4177076736).

3031300032 is an abundant number, since it is smaller than the sum of its proper divisors (5322853440).

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

3031300032 is a wasteful number, since it uses less digits than its factorization.

3031300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4666 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 3031300032 is about 55057.2432292065. The cubic root of 3031300032 is about 1447.2480553983.

Adding to 3031300032 its reverse (2300031303), we get a palindrome (5331331335).

The spelling of 3031300032 in words is "three billion, thirty-one million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 113 124 186 192 226 248 339 372 452 496 678 744 904 992 1356 1488 1808 1984 2712 2976 3503 3616 4507 5424 5952 7006 7232 9014 10509 10848 13521 14012 18028 21018 21696 27042 28024 36056 42036 54084 56048 72112 84072 108168 112096 139717 144224 168144 216336 224192 279434 288448 336288 419151 432672 509291 558868 672576 838302 865344 1018582 1117736 1527873 1676604 2037164 2235472 3055746 3353208 4074328 4470944 6111492 6706416 8148656 8941888 12222984 13412832 15788021 16297312 24445968 26825664 31576042 32594624 47364063 48891936 63152084 94728126 97783872 126304168 189456252 252608336 378912504 505216672 757825008 1010433344 1515650016 3031300032