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274040832 = 2113134773
BaseRepresentation
bin10000010101011…
…000100000000000
3201002122201100110
4100111120200000
51030123301312
643105351320
76535210602
oct2025304000
9632581313
10274040832
11130763a2a
1277938540
1344a0c150
1428577172
15190d243c
hex10558800

274040832 has 192 divisors, whose sum is σ = 814544640. Its totient is φ = 81395712.

The previous prime is 274040801. The next prime is 274040861. The reversal of 274040832 is 238040472.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 274040832.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3753948 + ... + 3754020.

It is an arithmetic number, because the mean of its divisors is an integer number (4242420).

Almost surely, 2274040832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274040832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407272320).

274040832 is an abundant number, since it is smaller than the sum of its proper divisors (540503808).

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

274040832 is a wasteful number, since it uses less digits than its factorization.

274040832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 274040832 is about 16554.1786869660. The cubic root of 274040832 is about 649.5387907739.

The spelling of 274040832 in words is "two hundred seventy-four million, forty thousand, eight hundred thirty-two".