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34234431420 = 22357192239817
BaseRepresentation
bin11111111000100001…
…111111011110111100
310021100212010022021110
4133320201333132330
51030103003301140
623421014402020
72321234602650
oct377041773674
9107325108243
1034234431420
1113578498032
126775060310
1332c7737b17
14192a984a60
15d5575a380
hex7f887f7bc

34234431420 has 288 divisors, whose sum is σ = 120658664448. Its totient is φ = 7090136064.

The previous prime is 34234431419. The next prime is 34234431431. The reversal of 34234431420 is 2413443243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3482352 + ... + 3492168.

It is an arithmetic number, because the mean of its divisors is an integer number (418953696).

Almost surely, 234234431420 is an apocalyptic number.

34234431420 is a gapful number since it is divisible by the number (30) 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 34234431420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60329332224).

34234431420 is an abundant number, since it is smaller than the sum of its proper divisors (86424233028).

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

34234431420 is a wasteful number, since it uses less digits than its factorization.

34234431420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9897 (or 9876 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 34234431420 its reverse (2413443243), we get a palindrome (36647874663).

The spelling of 34234431420 in words is "thirty-four billion, two hundred thirty-four million, four hundred thirty-one thousand, four hundred twenty".