Search a number
-
+
374096016 = 243371719383
BaseRepresentation
bin10110010011000…
…100000010010000
3222001221001021000
4112103010002100
51231232033031
6101042102000
712161522640
oct2623040220
9861831230
10374096016
11182192968
12a534a900
135c671ab8
1437980520
1522c983e6
hex164c4090

374096016 has 320 divisors, whose sum is σ = 1371340800. Its totient is φ = 95053824.

The previous prime is 374095993. The next prime is 374096053. The reversal of 374096016 is 610690473.

374096016 is a `hidden beast` number, since 3 + 7 + 40 + 9 + 601 + 6 = 666.

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 63 ways as a sum of consecutive naturals, for example, 976561 + ... + 976943.

It is an arithmetic number, because the mean of its divisors is an integer number (4285440).

Almost surely, 2374096016 is an apocalyptic number.

374096016 is a gapful number since it is divisible by the number (36) 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 374096016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685670400).

374096016 is an abundant number, since it is smaller than the sum of its proper divisors (997244784).

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

374096016 is a wasteful number, since it uses less digits than its factorization.

374096016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 374096016 is about 19341.5618810891. The cubic root of 374096016 is about 720.5448653429.

The spelling of 374096016 in words is "three hundred seventy-four million, ninety-six thousand, sixteen".