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1342311000 = 233532571741
BaseRepresentation
bin101000000000010…
…0000101001011000
310110112210110112020
41100000200221120
510222112423000
6341110214440
745156312102
oct12000405130
93415713466
101342311000
11629777138
12315654420
13185130684
14ca3b6572
157cc9bba0
hex50020a58

1342311000 has 128 divisors (see below), whose sum is σ = 4206720960. Its totient is φ = 356352000.

The previous prime is 1342310999. The next prime is 1342311001. The reversal of 1342311000 is 1132431.

It is an interprime number because it is at equal distance from previous prime (1342310999) and next prime (1342311001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342311001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 770130 + ... + 771870.

Almost surely, 21342311000 is an apocalyptic number.

1342311000 is a gapful number since it is divisible by the number (10) 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 1342311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103360480).

1342311000 is an abundant number, since it is smaller than the sum of its proper divisors (2864409960).

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

1342311000 is a wasteful number, since it uses less digits than its factorization.

1342311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1342311000 is about 36637.5626918604. The cubic root of 1342311000 is about 1103.1071927457.

Adding to 1342311000 its reverse (1132431), we get a palindrome (1343443431).

The spelling of 1342311000 in words is "one billion, three hundred forty-two million, three hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 257 300 375 500 514 600 750 771 1000 1028 1285 1500 1542 1741 2056 2570 3000 3084 3482 3855 5140 5223 6168 6425 6964 7710 8705 10280 10446 12850 13928 15420 17410 19275 20892 25700 26115 30840 32125 34820 38550 41784 43525 51400 52230 64250 69640 77100 87050 96375 104460 128500 130575 154200 174100 192750 208920 217625 257000 261150 348200 385500 435250 447437 522300 652875 771000 870500 894874 1044600 1305750 1342311 1741000 1789748 2237185 2611500 2684622 3579496 4474370 5223000 5369244 6711555 8948740 10738488 11185925 13423110 17897480 22371850 26846220 33557775 44743700 53692440 55929625 67115550 89487400 111859250 134231100 167788875 223718500 268462200 335577750 447437000 671155500 1342311000