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1312350400 = 26521375987
BaseRepresentation
bin100111000111000…
…1110000011000000
310101110102022022101
41032032032003000
510141430203100
6334120120144
744343536314
oct11616160300
93343368271
101312350400
11613873309
12307606054
1317bb705ca
14c6417b44
157a32e86a
hex4e38e0c0

1312350400 has 84 divisors (see below), whose sum is σ = 3253316328. Its totient is φ = 521021440.

The previous prime is 1312350383. The next prime is 1312350409. The reversal of 1312350400 is 40532131.

It is not an unprimeable number, because it can be changed into a prime (1312350409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216207 + ... + 222193.

Almost surely, 21312350400 is an apocalyptic number.

1312350400 is a gapful number since it is divisible by the number (10) 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 1312350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626658164).

1312350400 is an abundant number, since it is smaller than the sum of its proper divisors (1940965928).

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

1312350400 is a wasteful number, since it uses less digits than its factorization.

1312350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6146 (or 6131 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1312350400 is about 36226.3771304833. The cubic root of 1312350400 is about 1094.8381849112.

Adding to 1312350400 its reverse (40532131), we get a palindrome (1352882531).

The spelling of 1312350400 in words is "one billion, three hundred twelve million, three hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 137 160 200 274 320 400 548 685 800 1096 1370 1600 2192 2740 3425 4384 5480 5987 6850 8768 10960 11974 13700 21920 23948 27400 29935 43840 47896 54800 59870 95792 109600 119740 149675 191584 219200 239480 299350 383168 478960 598700 820219 957920 1197400 1640438 1915840 2394800 3280876 4101095 4789600 6561752 8202190 9579200 13123504 16404380 20505475 26247008 32808760 41010950 52494016 65617520 82021900 131235040 164043800 262470080 328087600 656175200 1312350400