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1264400232 = 2332910631709
BaseRepresentation
bin100101101011101…
…0011011101101000
310021010012012001020
41023113103131220
510042141301412
6325244252440
743222140024
oct11327233550
93233165036
101264400232
115997a2677
122b3541120
13171c52224
14bdcd5384
157600c18c
hex4b5d3768

1264400232 has 64 divisors (see below), whose sum is σ = 3274992000. Its totient is φ = 406312704.

The previous prime is 1264400231. The next prime is 1264400233. The reversal of 1264400232 is 2320044621.

It is an interprime number because it is at equal distance from previous prime (1264400231) and next prime (1264400233).

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 (1264400231) 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 15 ways as a sum of consecutive naturals, for example, 738994 + ... + 740702.

It is an arithmetic number, because the mean of its divisors is an integer number (51171750).

Almost surely, 21264400232 is an apocalyptic number.

1264400232 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 1264400232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637496000).

1264400232 is an abundant number, since it is smaller than the sum of its proper divisors (2010591768).

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

1264400232 is a wasteful number, since it uses less digits than its factorization.

1264400232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1264400232 is about 35558.4059260254. The cubic root of 1264400232 is about 1081.3381424264.

Adding to 1264400232 its reverse (2320044621), we get a palindrome (3584444853).

The spelling of 1264400232 in words is "one billion, two hundred sixty-four million, four hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 1063 1709 2126 3189 3418 4252 5127 6378 6836 8504 10254 12756 13672 20508 25512 30827 41016 49561 61654 92481 99122 123308 148683 184962 198244 246616 297366 369924 396488 594732 739848 1189464 1816667 3633334 5450001 7266668 10900002 14533336 21800004 43600008 52683343 105366686 158050029 210733372 316100058 421466744 632200116 1264400232