Search a number
-
+
3474859458 = 2372353671013
BaseRepresentation
bin1100111100011110…
…0010010111000010
322222011120011001110
43033013202113002
524104031000313
61332450144150
7152052550410
oct31707422702
98864504043
103474859458
111523516384
1280b882056
13434ba6475
1424d6d62b0
151550e2ec3
hexcf1e25c2

3474859458 has 128 divisors (see below), whose sum is σ = 8578732032. Its totient is φ = 916920576.

The previous prime is 3474859411. The next prime is 3474859459. The reversal of 3474859458 is 8549584743.

It is a happy number.

3474859458 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 = 3474859398 and 3474859407.

It is not an unprimeable number, because it can be changed into a prime (3474859459) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3429760 + ... + 3430772.

It is an arithmetic number, because the mean of its divisors is an integer number (67021344).

Almost surely, 23474859458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3474859458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289366016).

3474859458 is an abundant number, since it is smaller than the sum of its proper divisors (5103872574).

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

3474859458 is a wasteful number, since it uses less digits than its factorization.

3474859458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168.

The product of its digits is 19353600, while the sum is 57.

The square root of 3474859458 is about 58947.9385390193. The cubic root of 3474859458 is about 1514.6504377090.

The spelling of 3474859458 in words is "three billion, four hundred seventy-four million, eight hundred fifty-nine thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 7 14 21 23 42 46 53 67 69 106 134 138 159 161 201 318 322 371 402 469 483 742 938 966 1013 1113 1219 1407 1541 2026 2226 2438 2814 3039 3082 3551 3657 4623 6078 7091 7102 7314 8533 9246 10653 10787 14182 17066 21273 21306 21574 23299 24857 25599 32361 42546 46598 49714 51198 53689 64722 67871 69897 74571 81673 107378 135742 139794 149142 161067 163093 163346 203613 245019 322134 326186 375823 407226 475097 489279 490038 571711 751646 950194 978558 1127469 1143422 1234847 1425291 1561033 1715133 2254938 2469694 2850582 3122066 3430266 3597163 3704541 4683099 7194326 7409082 8643929 9366198 10791489 10927231 17287858 21582978 21854462 25180141 25931787 32781693 50360282 51863574 65563386 75540423 82734749 151080846 165469498 248204247 496408494 579143243 1158286486 1737429729 3474859458