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1300031334 = 232737431647
BaseRepresentation
bin100110101111100…
…1110011101100110
310100121020102201200
41031133032131212
510130302000314
6333000103330
744134040550
oct11537163546
93317212650
101300031334
11607919868
12303464b46
13179449314
14c492c4d0
15791e9709
hex4d7ce766

1300031334 has 96 divisors (see below), whose sum is σ = 3318921216. Its totient is φ = 360002880.

The previous prime is 1300031303. The next prime is 1300031363. The reversal of 1300031334 is 4331300031.

1300031334 is a `hidden beast` number, since 1 + 300 + 0 + 31 + 334 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2008999 + ... + 2009645.

It is an arithmetic number, because the mean of its divisors is an integer number (34572096).

Almost surely, 21300031334 is an apocalyptic number.

1300031334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300031334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659460608).

1300031334 is an abundant number, since it is smaller than the sum of its proper divisors (2018889882).

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

1300031334 is a wasteful number, since it uses less digits than its factorization.

1300031334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1300031334 is about 36055.9472764203. The cubic root of 1300031334 is about 1091.4016516329.

Adding to 1300031334 its reverse (4331300031), we get a palindrome (5631331365).

The spelling of 1300031334 in words is "one billion, three hundred million, thirty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 431 518 647 666 777 862 1293 1294 1554 1941 2331 2586 3017 3879 3882 4529 4662 5823 6034 7758 9051 9058 11646 13587 15947 18102 23939 27153 27174 31894 40761 47841 47878 54306 71817 81522 95682 111629 143523 143634 167573 215451 223258 278857 287046 334887 335146 430902 502719 557714 669774 836571 1004661 1005438 1508157 1673142 1951999 2009322 2509713 3016314 3903998 5019426 5855997 10317709 11711994 17567991 20635418 30953127 35135982 61906254 72223963 92859381 144447926 185718762 216671889 433343778 650015667 1300031334