Search a number
-
+
370074112 = 293472083
BaseRepresentation
bin10110000011101…
…110001000000000
3221210100201020121
4112003232020000
51224214332422
6100415550024
712112402162
oct2603561000
9853321217
10370074112
1117a996181
12a3b2b314
135b894285
1437214932
15227518c7
hex160ee200

370074112 has 40 divisors (see below), whose sum is σ = 741912336. Its totient is φ = 184415232.

The previous prime is 370074097. The next prime is 370074113. The reversal of 370074112 is 211470073.

It is a happy number.

370074112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (370074113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 176623 + ... + 178705.

Almost surely, 2370074112 is an apocalyptic number.

370074112 is a gapful number since it is divisible by the number (32) 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 370074112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370956168).

370074112 is an abundant number, since it is smaller than the sum of its proper divisors (371838224).

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

370074112 is an equidigital number, since it uses as much as digits as its factorization.

370074112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 370074112 is about 19237.3104149203. The cubic root of 370074112 is about 717.9533648065.

The spelling of 370074112 in words is "three hundred seventy million, seventy-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 347 512 694 1388 2083 2776 4166 5552 8332 11104 16664 22208 33328 44416 66656 88832 133312 177664 266624 533248 722801 1066496 1445602 2891204 5782408 11564816 23129632 46259264 92518528 185037056 370074112