Search a number
-
+
1434940416 = 210327132959
BaseRepresentation
bin101010110000111…
…0111010000000000
310201000002112012100
41111201313100000
510414321043131
6354215430400
750362535520
oct12541672000
93630075170
101434940416
11676a93a78
12340685400
1319b393390
14d8809680
1585e977e6
hex55877400

1434940416 has 528 divisors, whose sum is σ = 5364777600. Its totient is φ = 359202816.

The previous prime is 1434940379. The next prime is 1434940457. The reversal of 1434940416 is 6140494341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24320995 + ... + 24321053.

Almost surely, 21434940416 is an apocalyptic number.

1434940416 is a gapful number since it is divisible by the number (16) 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 1434940416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682388800).

1434940416 is an abundant number, since it is smaller than the sum of its proper divisors (3929837184).

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

1434940416 is a wasteful number, since it uses less digits than its factorization.

1434940416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1434940416 is about 37880.6073868939. The cubic root of 1434940416 is about 1127.9191129565.

The spelling of 1434940416 in words is "one billion, four hundred thirty-four million, nine hundred forty thousand, four hundred sixteen".