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1331430432 = 25367317653
BaseRepresentation
bin100111101011100…
…0000010000100000
310102210022200012020
41033113000100200
510211321233212
6340041101440
744664654243
oct11727002040
93383280166
101331430432
11623615432
12311a87880
13182ac1077
14c8b8325a
157bd4cd8c
hex4f5c0420

1331430432 has 96 divisors (see below), whose sum is σ = 3563808192. Its totient is φ = 435139584.

The previous prime is 1331430431. The next prime is 1331430479. The reversal of 1331430432 is 2340341331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1331430431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2038618 + ... + 2039270.

It is an arithmetic number, because the mean of its divisors is an integer number (37123002).

Almost surely, 21331430432 is an apocalyptic number.

1331430432 is a gapful number since it is divisible by the number (12) 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 1331430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781904096).

1331430432 is an abundant number, since it is smaller than the sum of its proper divisors (2232377760).

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

1331430432 is a wasteful number, since it uses less digits than its factorization.

1331430432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 1331430432 is about 36488.7713139262. The cubic root of 1331430432 is about 1100.1185635287.

Adding to 1331430432 its reverse (2340341331), we get a palindrome (3671771763).

The spelling of 1331430432 in words is "one billion, three hundred thirty-one million, four hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 317 402 536 634 653 804 951 1072 1268 1306 1608 1902 1959 2144 2536 2612 3216 3804 3918 5072 5224 6432 7608 7836 10144 10448 15216 15672 20896 21239 30432 31344 42478 43751 62688 63717 84956 87502 127434 131253 169912 175004 207001 254868 262506 339824 350008 414002 509736 525012 621003 679648 700016 828004 1019472 1050024 1242006 1400032 1656008 2038944 2100048 2484012 3312016 4200096 4968024 6624032 9936048 13869067 19872096 27738134 41607201 55476268 83214402 110952536 166428804 221905072 332857608 443810144 665715216 1331430432