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1342330000 = 24541112203
BaseRepresentation
bin101000000000010…
…0101010010010000
310110112211102120221
41100000211102100
510222114030000
6341110442424
745156421354
oct12000452220
93415742527
101342330000
1162978a440
12315663414
1318513920b
14ca3bd464
157cca261a
hex50025490

1342330000 has 100 divisors (see below), whose sum is σ = 3545652528. Its totient is φ = 488080000.

The previous prime is 1342329997. The next prime is 1342330007. The reversal of 1342330000 is 332431.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1342330007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103899 + ... + 116101.

Almost surely, 21342330000 is an apocalyptic number.

1342330000 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 1342330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772826264).

1342330000 is an abundant number, since it is smaller than the sum of its proper divisors (2203322528).

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

1342330000 is a wasteful number, since it uses less digits than its factorization.

1342330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12242 (or 12221 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 1342330000 is about 36637.8219876673. The cubic root of 1342330000 is about 1103.1123974357.

Adding to 1342330000 its reverse (332431), we get a palindrome (1342662431).

The spelling of 1342330000 in words is "one billion, three hundred forty-two million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 12203 13750 22000 24406 27500 48812 55000 61015 97624 110000 122030 134233 195248 244060 268466 305075 488120 536932 610150 671165 976240 1073864 1220300 1342330 1525375 2147728 2440600 2684660 3050750 3355825 4881200 5369320 6101500 6711650 7626875 10738640 12203000 13423300 15253750 16779125 24406000 26846600 30507500 33558250 53693200 61015000 67116500 83895625 122030000 134233000 167791250 268466000 335582500 671165000 1342330000