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1400304420 = 223257779469
BaseRepresentation
bin101001101110110…
…1111001100100100
310121120220211112200
41103131233030210
510331434220140
6350541214500
746462251114
oct12335571444
93546824480
101400304420
11659487489
12330b61430
131941571c8
14d3d91044
1582e05030
hex5376f324

1400304420 has 36 divisors (see below), whose sum is σ = 4247590620. Its totient is φ = 373414464.

The previous prime is 1400304403. The next prime is 1400304421. The reversal of 1400304420 is 244030041.

It can be written as a sum of positive squares in 2 ways, for example, as 1074790656 + 325513764 = 32784^2 + 18042^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1400304393 and 1400304402.

It is not an unprimeable number, because it can be changed into a prime (1400304421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3889555 + ... + 3889914.

Almost surely, 21400304420 is an apocalyptic number.

1400304420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1400304420 is an abundant number, since it is smaller than the sum of its proper divisors (2847286200).

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

1400304420 is a wasteful number, since it uses less digits than its factorization.

1400304420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7779484 (or 7779479 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1400304420 is about 37420.6416299881. The cubic root of 1400304420 is about 1118.7700198450.

Adding to 1400304420 its reverse (244030041), we get a palindrome (1644334461).

The spelling of 1400304420 in words is "one billion, four hundred million, three hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7779469 15558938 23338407 31117876 38897345 46676814 70015221 77794690 93353628 116692035 140030442 155589380 233384070 280060884 350076105 466768140 700152210 1400304420