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1434112020 = 22335111997131
BaseRepresentation
bin101010101111010…
…1101000000010100
310200221112102212000
41111132231000110
510414113041040
6354145555300
750352515415
oct12536550024
93627472760
101434112020
11676578650
12340345b30
1319b1632c3
14d867180c
1585d82130
hex557ad014

1434112020 has 384 divisors, whose sum is σ = 5215795200. Its totient is φ = 323481600.

The previous prime is 1434112003. The next prime is 1434112073. The reversal of 1434112020 is 202114341.

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 = 1434111984 and 1434112002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10947355 + ... + 10947485.

It is an arithmetic number, because the mean of its divisors is an integer number (13582800).

Almost surely, 21434112020 is an apocalyptic number.

1434112020 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 1434112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607897600).

1434112020 is an abundant number, since it is smaller than the sum of its proper divisors (3781683180).

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

1434112020 is a wasteful number, since it uses less digits than its factorization.

1434112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

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

The square root of 1434112020 is about 37869.6715063651. The cubic root of 1434112020 is about 1127.7020206571.

Adding to 1434112020 its reverse (202114341), we get a palindrome (1636226361).

The spelling of 1434112020 in words is "one billion, four hundred thirty-four million, one hundred twelve thousand, twenty".