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1331443830 = 235437114537
BaseRepresentation
bin100111101011100…
…0011100001110110
310102210100100120110
41033113003201312
510211322200310
6340041243450
744665041303
oct11727034166
93383310513
101331443830
11623624502
12311a93586
13182ac71b2
14c8b880aa
157bd51d20
hex4f5c3876

1331443830 has 64 divisors (see below), whose sum is σ = 3316059648. Its totient is φ = 341886720.

The previous prime is 1331443823. The next prime is 1331443843. The reversal of 1331443830 is 383441331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84322 + ... + 98858.

It is an arithmetic number, because the mean of its divisors is an integer number (51813432).

Almost surely, 21331443830 is an apocalyptic number.

1331443830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331443830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658029824).

1331443830 is an abundant number, since it is smaller than the sum of its proper divisors (1984615818).

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

1331443830 is a wasteful number, since it uses less digits than its factorization.

1331443830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14661.

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 1331443830 is about 36488.9549041898. The cubic root of 1331443830 is about 1100.1222536299.

The spelling of 1331443830 in words is "one billion, three hundred thirty-one million, four hundred forty-three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 71 86 129 142 213 215 258 355 426 430 645 710 1065 1290 2130 3053 6106 9159 14537 15265 18318 29074 30530 43611 45795 72685 87222 91590 145370 218055 436110 625091 1032127 1250182 1875273 2064254 3096381 3125455 3750546 5160635 6192762 6250910 9376365 10321270 15481905 18752730 30963810 44381461 88762922 133144383 221907305 266288766 443814610 665721915 1331443830