Search a number
-
+
274026816 = 2632731973
BaseRepresentation
bin10000010101010…
…101000101000000
3201002122000010100
4100111111011000
51030122324231
643105202400
76535122000
oct2025250500
9632560110
10274026816
11130754448
1277930400
1344a0595b
1428572000
15190cd1e6
hex10555140

274026816 has 336 divisors, whose sum is σ = 977392000. Its totient is φ = 73156608.

The previous prime is 274026787. The next prime is 274026833. The reversal of 274026816 is 618620472.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3753756 + ... + 3753828.

Almost surely, 2274026816 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 274026816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488696000).

274026816 is an abundant number, since it is smaller than the sum of its proper divisors (703365184).

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

274026816 is a wasteful number, since it uses less digits than its factorization.

274026816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 274026816 is about 16553.7553443320. The cubic root of 274026816 is about 649.5277168878.

The spelling of 274026816 in words is "two hundred seventy-four million, twenty-six thousand, eight hundred sixteen".