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1332404034 = 231347715119
BaseRepresentation
bin100111101101010…
…1101111101000010
310102212011010201120
41033122231331002
510212043412114
6340114013110
745006150603
oct11732557502
93385133646
101332404034
1162411a965
12312277196
13183072270
14c8d57daa
157be915a9
hex4f6adf42

1332404034 has 64 divisors (see below), whose sum is σ = 2972712960. Its totient is φ = 395519040.

The previous prime is 1332404033. The next prime is 1332404057. The reversal of 1332404034 is 4304042331.

It is a super-3 number, since 3×13324040343 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1332403995 and 1332404013.

It is not an unprimeable number, because it can be changed into a prime (1332404033) 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, 257727 + ... + 262845.

It is an arithmetic number, because the mean of its divisors is an integer number (46448640).

Almost surely, 21332404034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332404034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486356480).

1332404034 is an abundant number, since it is smaller than the sum of its proper divisors (1640308926).

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

1332404034 is a wasteful number, since it uses less digits than its factorization.

1332404034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5255.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 1332404034 is about 36502.1099938072. The cubic root of 1332404034 is about 1100.3866503023.

Adding to 1332404034 its reverse (4304042331), we get a palindrome (5636446365).

The spelling of 1332404034 in words is "one billion, three hundred thirty-two million, four hundred four thousand, thirty-four".

Divisors: 1 2 3 6 13 26 39 47 71 78 94 141 142 213 282 426 611 923 1222 1833 1846 2769 3337 3666 5119 5538 6674 10011 10238 15357 20022 30714 43381 66547 86762 130143 133094 199641 240593 260286 363449 399282 481186 721779 726898 1090347 1443558 2180694 3127709 4724837 6255418 9383127 9449674 14174511 17082103 18766254 28349022 34164206 51246309 102492618 222067339 444134678 666202017 1332404034