Search a number
-
+
3427294024 = 2372112193803
BaseRepresentation
bin1100110001001000…
…0101101101001000
322211212001120112201
43030102011231020
524004341402044
61324030445544
7150634342600
oct31422055510
98755046481
103427294024
1114a9688800
127b79638b4
1342809123b
14247273c00
15150d497d4
hexcc485b48

3427294024 has 144 divisors (see below), whose sum is σ = 8651437200. Its totient is φ = 1264697280.

The previous prime is 3427294021. The next prime is 3427294067. The reversal of 3427294024 is 4204927243.

It is a super-2 number, since 2×34272940242 = 23492688653892225152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3427294021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 899307 + ... + 903109.

It is an arithmetic number, because the mean of its divisors is an integer number (60079425).

Almost surely, 23427294024 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 3427294024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4325718600).

3427294024 is an abundant number, since it is smaller than the sum of its proper divisors (5224143176).

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

3427294024 is a wasteful number, since it uses less digits than its factorization.

3427294024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The square root of 3427294024 is about 58543.0954425883. The cubic root of 3427294024 is about 1507.7075903474.

The spelling of 3427294024 in words is "three billion, four hundred twenty-seven million, two hundred ninety-four thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 49 56 76 77 88 98 121 133 152 154 196 209 242 266 308 392 418 484 532 539 616 836 847 931 968 1064 1078 1463 1672 1694 1862 2156 2299 2926 3388 3724 3803 4312 4598 5852 5929 6776 7448 7606 9196 10241 11704 11858 15212 16093 18392 20482 23716 26621 30424 32186 40964 41833 47432 53242 64372 72257 81928 83666 106484 112651 128744 144514 167332 186347 212968 225302 289028 292831 334664 372694 450604 460163 505799 578056 585662 745388 794827 901208 920326 1011598 1171324 1490776 1589654 1840652 2023196 2049817 2342648 3179308 3221141 3540593 3681304 4046392 4099634 5563789 6358616 6442282 7081186 8199268 8743097 11127578 12884564 14162372 16398536 17486194 22255156 22547987 25769128 28324744 34972388 38946523 44510312 45095974 61201679 69944776 77893046 90191948 122403358 155786092 180383896 244806716 311572184 428411753 489613432 856823506 1713647012 3427294024