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34021155420 = 223257199241563
BaseRepresentation
bin11111101011110100…
…011010001001011100
310020210222210202121100
4133223310122021130
51024133403433140
623343515233100
72313035023020
oct375364321134
9106728722540
1034021155420
111347906767a
126715748790
1332924b2ac5
14190a508380
15d41b7c530
hex7ebd1a25c

34021155420 has 288 divisors, whose sum is σ = 119235916800. Its totient is φ = 7691397120.

The previous prime is 34021155407. The next prime is 34021155431. The reversal of 34021155420 is 2455112043.

34021155420 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 115 + 542 + 0 = 666.

It is a super-2 number, since 2×340211554202 (a number of 22 digits) contains 22 as substring.

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, 60428059 + ... + 60428621.

It is an arithmetic number, because the mean of its divisors is an integer number (414013600).

Almost surely, 234021155420 is an apocalyptic number.

34021155420 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 34021155420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59617958400).

34021155420 is an abundant number, since it is smaller than the sum of its proper divisors (85214761380).

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

34021155420 is a wasteful number, since it uses less digits than its factorization.

34021155420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 34021155420 its reverse (2455112043), we get a palindrome (36476267463).

The spelling of 34021155420 in words is "thirty-four billion, twenty-one million, one hundred fifty-five thousand, four hundred twenty".