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1332423396 = 22322315110657
BaseRepresentation
bin100111101101011…
…0010101011100100
310102212012010021200
41033122302223210
510212100022041
6340114242500
745006261213
oct11732625344
93385163250
101332423396
11624133467
12312286430
1318307b015
14c8d6107a
157be971b6
hex4f6b2ae4

1332423396 has 72 divisors (see below), whose sum is σ = 3538114944. Its totient is φ = 421977600.

The previous prime is 1332423383. The next prime is 1332423397. The reversal of 1332423396 is 6933242331.

1332423396 is a `hidden beast` number, since 1 + 332 + 4 + 233 + 96 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1332423396.

It is not an unprimeable number, because it can be changed into a prime (1332423397) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 119700 + ... + 130356.

Almost surely, 21332423396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332423396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769057472).

1332423396 is an abundant number, since it is smaller than the sum of its proper divisors (2205691548).

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

1332423396 is a wasteful number, since it uses less digits than its factorization.

1332423396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10841 (or 10836 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 1332423396 is about 36502.3752103887. The cubic root of 1332423396 is about 1100.3919804130.

The spelling of 1332423396 in words is "one billion, three hundred thirty-two million, four hundred twenty-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 151 207 276 302 414 453 604 828 906 1359 1812 2718 3473 5436 6946 10419 10657 13892 20838 21314 31257 31971 41676 42628 62514 63942 95913 125028 127884 191826 245111 383652 490222 735333 980444 1470666 1609207 2205999 2941332 3218414 4411998 4827621 6436828 8823996 9655242 14482863 19310484 28965726 37011761 57931452 74023522 111035283 148047044 222070566 333105849 444141132 666211698 1332423396