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1400304400 = 24521123101137
BaseRepresentation
bin101001101110110…
…1111001100010000
310121120220211111221
41103131233030100
510331434220100
6350541214424
746462251055
oct12335571420
93546824457
101400304400
11659487470
12330b61414
131941571b1
14d3d9102c
1582e0501a
hex5376f310

1400304400 has 240 divisors, whose sum is σ = 3895786368. Its totient is φ = 478720000.

The previous prime is 1400304397. The next prime is 1400304401. The reversal of 1400304400 is 44030041.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1400304401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10221132 + ... + 10221268.

Almost surely, 21400304400 is an apocalyptic number.

1400304400 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 1400304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947893184).

1400304400 is an abundant number, since it is smaller than the sum of its proper divisors (2495481968).

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

1400304400 is a wasteful number, since it uses less digits than its factorization.

1400304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1400304400 is about 37420.6413627559. The cubic root of 1400304400 is about 1118.7700145187.

Adding to 1400304400 its reverse (44030041), we get a palindrome (1444334441).

The spelling of 1400304400 in words is "one billion, four hundred million, three hundred four thousand, four hundred".