Search a number
-
+
3474674144 = 253716717573
BaseRepresentation
bin1100111100011011…
…0101000111100000
322222011012201211222
43033012311013200
524104004033034
61332442154212
7152051146214
oct31706650740
98864181758
103474674144
1115233aa127
1280b7b2968
13434b40006
1424d688944
151550a812e
hexcf1b51e0

3474674144 has 48 divisors (see below), whose sum is σ = 7068122208. Its totient is φ = 1680164352.

The previous prime is 3474674123. The next prime is 3474674167. The reversal of 3474674144 is 4414764743.

3474674144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3474674095 and 3474674104.

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, 188942 + ... + 206514.

It is an arithmetic number, because the mean of its divisors is an integer number (147252546).

Almost surely, 23474674144 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 3474674144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534061104).

3474674144 is an abundant number, since it is smaller than the sum of its proper divisors (3593448064).

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

3474674144 is a wasteful number, since it uses less digits than its factorization.

3474674144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17787 (or 17779 counting only the distinct ones).

The product of its digits is 903168, while the sum is 44.

The square root of 3474674144 is about 58946.3666734431. The cubic root of 3474674144 is about 1514.6235118314.

The spelling of 3474674144 in words is "three billion, four hundred seventy-four million, six hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 37 74 148 167 296 334 592 668 1184 1336 2672 5344 6179 12358 17573 24716 35146 49432 70292 98864 140584 197728 281168 562336 650201 1300402 2600804 2934691 5201608 5869382 10403216 11738764 20806432 23477528 46955056 93910112 108583567 217167134 434334268 868668536 1737337072 3474674144