Search a number
-
+
1400024340 = 223251113109499
BaseRepresentation
bin101001101110010…
…1010110100010100
310121120101121100100
41103130222310110
510331401234330
6350531214100
746460003421
oct12334526424
93546347310
101400024340
11659306010
12330a47330
13194089890
14d3d1ad48
1582d9c060
hex5372ad14

1400024340 has 288 divisors, whose sum is σ = 5045040000. Its totient is φ = 309795840.

The previous prime is 1400024303. The next prime is 1400024347. The reversal of 1400024340 is 434200041.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400024347) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2805411 + ... + 2805909.

It is an arithmetic number, because the mean of its divisors is an integer number (17517500).

Almost surely, 21400024340 is an apocalyptic number.

1400024340 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 1400024340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522520000).

1400024340 is an abundant number, since it is smaller than the sum of its proper divisors (3645015660).

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

1400024340 is a wasteful number, since it uses less digits than its factorization.

1400024340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 642 counting only the distinct ones).

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

The square root of 1400024340 is about 37416.8991232571. The cubic root of 1400024340 is about 1118.6954251126.

Adding to 1400024340 its reverse (434200041), we get a palindrome (1834224381).

The spelling of 1400024340 in words is "one billion, four hundred million, twenty-four thousand, three hundred forty".