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1340432400 = 243521117027
BaseRepresentation
bin100111111100101…
…0110000000010000
310110102021000120110
41033321112000100
510221122314100
6341002041320
745134326116
oct11771260020
93412230513
101340432400
1162870377a
12314aa9240
13184923588
14ca047ab6
157ca2a250
hex4fe56010

1340432400 has 60 divisors (see below), whose sum is σ = 4293855632. Its totient is φ = 357448320.

The previous prime is 1340432399. The next prime is 1340432413. The reversal of 1340432400 is 42340431.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 557314 + ... + 559713.

Almost surely, 21340432400 is an apocalyptic number.

1340432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1340432400 is an abundant number, since it is smaller than the sum of its proper divisors (2953423232).

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

1340432400 is a wasteful number, since it uses less digits than its factorization.

1340432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117048 (or 1117037 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1340432400 is about 36611.9160929881. The cubic root of 1340432400 is about 1102.5923431890.

Adding to 1340432400 its reverse (42340431), we get a palindrome (1382772831).

The spelling of 1340432400 in words is "one billion, three hundred forty million, four hundred thirty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1117027 2234054 3351081 4468108 5585135 6702162 8936216 11170270 13404324 16755405 17872432 22340540 26808648 27925675 33510810 44681080 53617296 55851350 67021620 83777025 89362160 111702700 134043240 167554050 223405400 268086480 335108100 446810800 670216200 1340432400