Search a number
-
+
1400341200 = 2435223113449
BaseRepresentation
bin101001101110111…
…1000001011010000
310121120222200222220
41103131320023100
510331441404300
6350542101040
746462463256
oct12335701320
93546880886
101400341200
11659502085
12330b7a780
1319416ab7b
14d3da05d6
1582e10da0
hex537782d0

1400341200 has 240 divisors, whose sum is σ = 4732732800. Its totient is φ = 353239040.

The previous prime is 1400341199. The next prime is 1400341231. The reversal of 1400341200 is 21430041.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1400341200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3118576 + ... + 3119024.

It is an arithmetic number, because the mean of its divisors is an integer number (19719720).

Almost surely, 21400341200 is an apocalyptic number.

1400341200 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 1400341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366366400).

1400341200 is an abundant number, since it is smaller than the sum of its proper divisors (3332391600).

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

1400341200 is a wasteful number, since it uses less digits than its factorization.

1400341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1400341200 is about 37421.1330667579. The cubic root of 1400341200 is about 1118.7798148583.

Adding to 1400341200 its reverse (21430041), we get a palindrome (1421771241).

The spelling of 1400341200 in words is "one billion, four hundred million, three hundred forty-one thousand, two hundred".