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1312341400 = 2352192411433
BaseRepresentation
bin100111000111000…
…1011110110011000
310101110101211222001
41032032023312120
510141424411100
6334120010344
744343501136
oct11616136630
93343354861
101312341400
11613867577
123076009b4
1317bb69496
14c6414756
157a32bd6a
hex4e38bd98

1312341400 has 96 divisors (see below), whose sum is σ = 3227360400. Its totient is φ = 494899200.

The previous prime is 1312341389. The next prime is 1312341413. The reversal of 1312341400 is 41432131.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 915084 + ... + 916516.

Almost surely, 21312341400 is an apocalyptic number.

1312341400 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 1312341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613680200).

1312341400 is an abundant number, since it is smaller than the sum of its proper divisors (1915019000).

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

1312341400 is a wasteful number, since it uses less digits than its factorization.

1312341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1312341400 is about 36226.2529113901. The cubic root of 1312341400 is about 1094.8356821329.

Adding to 1312341400 its reverse (41432131), we get a palindrome (1353773531).

The spelling of 1312341400 in words is "one billion, three hundred twelve million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 241 380 475 482 760 950 964 1205 1433 1900 1928 2410 2866 3800 4579 4820 5732 6025 7165 9158 9640 11464 12050 14330 18316 22895 24100 27227 28660 35825 36632 45790 48200 54454 57320 71650 91580 108908 114475 136135 143300 183160 217816 228950 272270 286600 345353 457900 544540 680675 690706 915800 1089080 1361350 1381412 1726765 2722700 2762824 3453530 5445400 6561707 6907060 8633825 13123414 13814120 17267650 26246828 32808535 34535300 52493656 65617070 69070600 131234140 164042675 262468280 328085350 656170700 1312341400