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3428893936 = 241353615099
BaseRepresentation
bin1100110001100000…
…1100010011110000
322211222001212012201
43030120030103300
524010244101221
61324125032544
7150654055216
oct31430142360
98758055181
103428893936
1114aa580846
127b83b5754
13428501530
1424756ccb6
15151063891
hexcc60c4f0

3428893936 has 80 divisors (see below), whose sum is σ = 7410463200. Its totient is φ = 1526952960.

The previous prime is 3428893927. The next prime is 3428893961. The reversal of 3428893936 is 6393988243.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 669915 + ... + 675013.

It is an arithmetic number, because the mean of its divisors is an integer number (92630790).

Almost surely, 23428893936 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 3428893936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705231600).

3428893936 is an abundant number, since it is smaller than the sum of its proper divisors (3981569264).

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

3428893936 is a wasteful number, since it uses less digits than its factorization.

3428893936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5234 (or 5228 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 55.

The square root of 3428893936 is about 58556.7582436050. The cubic root of 3428893936 is about 1507.9421606524.

The spelling of 3428893936 in words is "three billion, four hundred twenty-eight million, eight hundred ninety-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 53 61 104 106 122 208 212 244 424 488 689 793 848 976 1378 1586 2756 3172 3233 5099 5512 6344 6466 10198 11024 12688 12932 20396 25864 40792 42029 51728 66287 81584 84058 132574 168116 265148 270247 311039 336232 530296 540494 622078 672464 1060592 1080988 1244156 2161976 2488312 3513211 4043507 4323952 4976624 7026422 8087014 14052844 16174028 16485067 28105688 32348056 32970134 56211376 64696112 65940268 131880536 214305871 263761072 428611742 857223484 1714446968 3428893936