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1341024400 = 245218312
BaseRepresentation
bin100111111101110…
…0110100010010000
310110110101002122101
41033323212202100
510221300240100
6341022450144
745142343062
oct11773464220
93413332571
101341024400
11628a78531
12315133954
13184a9cb81
14ca15d732
157cae586a
hex4fee6890

1341024400 has 45 divisors (see below), whose sum is σ = 3223571673. Its totient is φ = 536116800.

The previous prime is 1341024397. The next prime is 1341024431. The reversal of 1341024400 is 44201431.

The square root of 1341024400 is 36620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 482768784 + 858255616 = 21972^2 + 29296^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 731485 + ... + 733315.

Almost surely, 21341024400 is an apocalyptic number.

1341024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1341024400 is the 36620-th square number.

It is an amenable number.

1341024400 is an abundant number, since it is smaller than the sum of its proper divisors (1882547273).

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

1341024400 is an frugal number, since it uses more digits than its factorization.

1341024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The cubic root of 1341024400 is about 1102.7546387283.

Adding to 1341024400 its reverse (44201431), we get a palindrome (1385225831).

The spelling of 1341024400 in words is "one billion, three hundred forty-one million, twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1831 3662 7324 9155 14648 18310 29296 36620 45775 73240 91550 146480 183100 366200 732400 3352561 6705122 13410244 16762805 26820488 33525610 53640976 67051220 83814025 134102440 167628050 268204880 335256100 670512200 1341024400