Search a number
-
+
1400431032 = 23347111317127
BaseRepresentation
bin101001101111000…
…1110000110111000
310121121011021020000
41103132032012320
510332002243112
6350544033000
746463316210
oct12336160670
93547137200
101400431032
11659563620
12331002760
1319419ca20
14d3dc5240
1582e2c7dc
hex5378e1b8

1400431032 has 640 divisors, whose sum is σ = 5620285440. Its totient is φ = 313528320.

The previous prime is 1400430991. The next prime is 1400431037. The reversal of 1400431032 is 2301340041.

1400431032 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14004310322 = 3922414150777170048, which contains 22 as substring.

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 = 1400430996 and 1400431014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400431037) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11026953 + ... + 11027079.

It is an arithmetic number, because the mean of its divisors is an integer number (8781696).

Almost surely, 21400431032 is an apocalyptic number.

1400431032 is a gapful number since it is divisible by the number (12) 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 1400431032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810142720).

1400431032 is an abundant number, since it is smaller than the sum of its proper divisors (4219854408).

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

1400431032 is a wasteful number, since it uses less digits than its factorization.

1400431032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1400431032 is about 37422.3333318488. Note that the first 5 decimals coincide. The cubic root of 1400431032 is about 1118.8037376183.

Adding to 1400431032 its reverse (2301340041), we get a palindrome (3701771073).

Subtracting 1400431032 from its reverse (2301340041), we obtain a palindrome (900909009).

The spelling of 1400431032 in words is "one billion, four hundred million, four hundred thirty-one thousand, thirty-two".