Search a number
-
+
3344426072 = 2313312109307
BaseRepresentation
bin1100011101010111…
…1110010001011000
322122002010110002022
43013111332101120
523322133113242
61311510354012
7145610103221
oct30725762130
98562113068
103344426072
111466928899
1279405b908
13413b68650
1423a262248
1514892b0d2
hexc757e458

3344426072 has 96 divisors (see below), whose sum is σ = 7064996400. Its totient is φ = 1475262720.

The previous prime is 3344426017. The next prime is 3344426101. The reversal of 3344426072 is 2706244433.

It is a super-2 number, since 2×33444260722 = 22370371502146698368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10893743 + ... + 10894049.

Almost surely, 23344426072 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 3344426072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532498200).

3344426072 is an abundant number, since it is smaller than the sum of its proper divisors (3720570328).

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

3344426072 is a wasteful number, since it uses less digits than its factorization.

3344426072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 35.

The square root of 3344426072 is about 57831.0130639262. The cubic root of 3344426072 is about 1495.4567825279.

The spelling of 3344426072 in words is "three billion, three hundred forty-four million, four hundred twenty-six thousand, seventy-two".

Divisors: 1 2 4 8 13 26 31 52 62 104 109 124 218 248 307 403 436 614 806 872 961 1228 1417 1612 1922 2456 2834 3224 3379 3844 3991 5668 6758 7688 7982 9517 11336 12493 13516 15964 19034 24986 27032 31928 33463 38068 43927 49972 66926 76136 87854 99944 104749 123721 133852 175708 209498 247442 267704 295027 351416 418996 435019 494884 590054 837992 870038 989768 1037353 1180108 1361737 1740076 2074706 2360216 2723474 3480152 3835351 4149412 5446948 7670702 8298824 10893896 13485589 15341404 26971178 30682808 32157943 53942356 64315886 107884712 128631772 257263544 418053259 836106518 1672213036 3344426072