Search a number
-
+
1434011040 = 25355711479
BaseRepresentation
bin101010101111001…
…0100010110100000
310200221100022100000
41111132110112200
510414101323130
6354143500000
750351615130
oct12536242640
93627308300
101434011040
116765097a0
123402b7600
1319b129357
14d8646ac0
1585d62260
hex557945a0

1434011040 has 576 divisors, whose sum is σ = 6340239360. Its totient is φ = 297354240.

The previous prime is 1434011009. The next prime is 1434011041. The reversal of 1434011040 is 401104341.

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 (1434011041) 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, 2993521 + ... + 2993999.

It is an arithmetic number, because the mean of its divisors is an integer number (11007360).

Almost surely, 21434011040 is an apocalyptic number.

1434011040 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 1434011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170119680).

1434011040 is an abundant number, since it is smaller than the sum of its proper divisors (4906228320).

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

1434011040 is a wasteful number, since it uses less digits than its factorization.

1434011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1434011040 is about 37868.3382260167. The cubic root of 1434011040 is about 1127.6755517757.

Adding to 1434011040 its reverse (401104341), we get a palindrome (1835115381).

It can be divided in two parts, 143401 and 1040, that added together give a palindrome (144441).

The spelling of 1434011040 in words is "one billion, four hundred thirty-four million, eleven thousand, forty".