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34030023030 = 232529612111013
BaseRepresentation
bin11111101100010110…
…001111000101110110
310020211121111021200100
4133230112033011312
51024143141214110
623344433254530
72313203265063
oct375426170566
9106747437610
1034030023030
1113483073a83
126718704446
133294299103
14190b775c6a
15d4282ebc0
hex7ec58f176

34030023030 has 192 divisors, whose sum is σ = 93562672320. Its totient is φ = 8568806400.

The previous prime is 34030022989. The next prime is 34030023047. The reversal of 34030023030 is 3032003043.

34030023030 is a `hidden beast` number, since 3 + 403 + 0 + 0 + 230 + 30 = 666.

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 = 34030022994 and 34030023012.

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, 33592804 + ... + 33593816.

It is an arithmetic number, because the mean of its divisors is an integer number (487305585).

Almost surely, 234030023030 is an apocalyptic number.

34030023030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34030023030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46781336160).

34030023030 is an abundant number, since it is smaller than the sum of its proper divisors (59532649290).

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

34030023030 is a wasteful number, since it uses less digits than its factorization.

34030023030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 34030023030 its reverse (3032003043), we get a palindrome (37062026073).

The spelling of 34030023030 in words is "thirty-four billion, thirty million, twenty-three thousand, thirty".