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34273305990 = 2325711191311987
BaseRepresentation
bin11111111010110110…
…010010010110000110
310021110120021100011100
4133322312102112012
51030142431242430
623424523520530
72322216202620
oct377266222606
9107416240140
1034273305990
111359842a080
126786089146
1333027c9321
141931bc3c10
15d58d88960
hex7fad92586

34273305990 has 384 divisors, whose sum is σ = 117898260480. Its totient is φ = 6692025600.

The previous prime is 34273305943. The next prime is 34273306049. The reversal of 34273305990 is 9950337243.

34273305990 is a `hidden beast` number, since 3 + 4 + 27 + 3 + 30 + 599 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17247777 + ... + 17249763.

It is an arithmetic number, because the mean of its divisors is an integer number (307026720).

Almost surely, 234273305990 is an apocalyptic number.

34273305990 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 34273305990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58949130240).

34273305990 is an abundant number, since it is smaller than the sum of its proper divisors (83624954490).

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

34273305990 is a wasteful number, since it uses less digits than its factorization.

34273305990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 34273305990 in words is "thirty-four billion, two hundred seventy-three million, three hundred five thousand, nine hundred ninety".