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1312132340 = 225891734261
BaseRepresentation
bin100111000110101…
…1000110011110100
310101110000020012002
41032031120303310
510141401213330
6334111314432
744341640501
oct11615306364
93343006162
101312132340
116137344a2
1230751ba18
1317bac528c
14c639c4a8
157a2d9e45
hex4e358cf4

1312132340 has 48 divisors (see below), whose sum is σ = 2803202640. Its totient is φ = 515834880.

The previous prime is 1312132331. The next prime is 1312132351. The reversal of 1312132340 is 432312131.

It can be written as a sum of positive squares in 8 ways, for example, as 117462244 + 1194670096 = 10838^2 + 34564^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305810 + ... + 310070.

It is an arithmetic number, because the mean of its divisors is an integer number (58400055).

Almost surely, 21312132340 is an apocalyptic number.

1312132340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312132340 is an abundant number, since it is smaller than the sum of its proper divisors (1491070300).

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

1312132340 is a wasteful number, since it uses less digits than its factorization.

1312132340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4532 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1312132340 is about 36223.3673200049. The cubic root of 1312132340 is about 1094.7775421543. Note that the first 3 decimals are identical.

Adding to 1312132340 its reverse (432312131), we get a palindrome (1744444471).

The spelling of 1312132340 in words is "one billion, three hundred twelve million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 89 173 178 346 356 445 692 865 890 1730 1780 3460 4261 8522 15397 17044 21305 30794 42610 61588 76985 85220 153970 307940 379229 737153 758458 1474306 1516916 1896145 2948612 3685765 3792290 7371530 7584580 14743060 65606617 131213234 262426468 328033085 656066170 1312132340