Search a number
-
+
374112320 = 2655412161
BaseRepresentation
bin10110010011001…
…000000001000000
3222001221212121212
4112103020001000
51231233043240
6101042305252
712161621321
oct2623100100
9861855555
10374112320
111821a413a
12a5358228
135c67934a
1437986448
1522c9d165
hex164c8040

374112320 has 56 divisors (see below), whose sum is σ = 892914648. Its totient is φ = 149299200.

The previous prime is 374112269. The next prime is 374112367. The reversal of 374112320 is 23211473.

It can be written as a sum of positive squares in 4 ways, for example, as 40246336 + 333865984 = 6344^2 + 18272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172040 + ... + 174200.

Almost surely, 2374112320 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 374112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446457324).

374112320 is an abundant number, since it is smaller than the sum of its proper divisors (518802328).

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

374112320 is a wasteful number, since it uses less digits than its factorization.

374112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 374112320 is about 19341.9833522832. The cubic root of 374112320 is about 720.5553328809. Note that the first 3 decimals are identical.

Adding to 374112320 its reverse (23211473), we get a palindrome (397323793).

It can be divided in two parts, 3741 and 12320, that added together give a palindrome (16061).

The spelling of 374112320 in words is "three hundred seventy-four million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 541 1082 2161 2164 2705 4322 4328 5410 8644 8656 10805 10820 17288 17312 21610 21640 34576 34624 43220 43280 69152 86440 86560 138304 172880 173120 345760 691520 1169101 2338202 4676404 5845505 9352808 11691010 18705616 23382020 37411232 46764040 74822464 93528080 187056160 374112320