Search a number
-
+
374000960 = 2659712049
BaseRepresentation
bin10110010010101…
…100110101000000
3222001202012212102
4112102230311000
51231221012320
6101040045532
712160645544
oct2622546500
9861665772
10374000960
11182128503
12a53038a8
135c63a758
1437957a24
1522c7a175
hex164acd40

374000960 has 56 divisors (see below), whose sum is σ = 899845800. Its totient is φ = 148045824.

The previous prime is 374000947. The next prime is 374000981. The reversal of 374000960 is 69000473.

It can be written as a sum of positive squares in 4 ways, for example, as 54878464 + 319122496 = 7408^2 + 17864^2 .

It is a congruent number.

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, 25016 + ... + 37064.

It is an arithmetic number, because the mean of its divisors is an integer number (16068675).

Almost surely, 2374000960 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 374000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449922900).

374000960 is an abundant number, since it is smaller than the sum of its proper divisors (525844840).

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

374000960 is a wasteful number, since it uses less digits than its factorization.

374000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12163 (or 12153 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 374000960 is about 19339.1044260069. The cubic root of 374000960 is about 720.4838311772.

The spelling of 374000960 in words is "three hundred seventy-four million, nine hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 160 194 320 388 485 776 970 1552 1940 3104 3880 6208 7760 12049 15520 24098 31040 48196 60245 96392 120490 192784 240980 385568 481960 771136 963920 1168753 1927840 2337506 3855680 4675012 5843765 9350024 11687530 18700048 23375060 37400096 46750120 74800192 93500240 187000480 374000960