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234003413028 = 2237112335930671
BaseRepresentation
bin1101100111101110110…
…0001011100000100100
3211101000002201001010010
43121323230023200210
512313214333204103
6255255533130220
722622552122650
oct3317354134044
9741002631103
10234003413028
119027090a740
1239427329970
13190b2c2c308
14b47c0cba60
156148799903
hex367bb0b824

234003413028 has 192 divisors, whose sum is σ = 712336343040. Its totient is φ = 57973660800.

The previous prime is 234003412967. The next prime is 234003413029. The reversal of 234003413028 is 820314300432.

234003413028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 234003412986 and 234003413004.

It is not an unprimeable number, because it can be changed into a prime (234003413029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7614133 + ... + 7644803.

It is an arithmetic number, because the mean of its divisors is an integer number (3710085120).

Almost surely, 2234003413028 is an apocalyptic number.

234003413028 is a gapful number since it is divisible by the number (28) 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 234003413028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356168171520).

234003413028 is an abundant number, since it is smaller than the sum of its proper divisors (478332930012).

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

234003413028 is a wasteful number, since it uses less digits than its factorization.

234003413028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31078 (or 31076 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 234003413028 in words is "two hundred thirty-four billion, three million, four hundred thirteen thousand, twenty-eight".