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3420784528 = 247311994951
BaseRepresentation
bin1100101111100101…
…0000011110010000
322211101210212012021
43023321100132100
524001210101103
61323235141224
7150525121510
oct31371203620
98741725167
103420784528
1114a5a42057
127b5744814
13426922375
1424645b840
151504b0bbd
hexcbe50790

3420784528 has 80 divisors (see below), whose sum is σ = 7859814400. Its totient is φ = 1411344000.

The previous prime is 3420784519. The next prime is 3420784537. The reversal of 3420784528 is 8254870243.

It is an interprime number because it is at equal distance from previous prime (3420784519) and next prime (3420784537).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688453 + ... + 693403.

It is an arithmetic number, because the mean of its divisors is an integer number (98247680).

Almost surely, 23420784528 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 3420784528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929907200).

3420784528 is an abundant number, since it is smaller than the sum of its proper divisors (4439029872).

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

3420784528 is a wasteful number, since it uses less digits than its factorization.

3420784528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5196 (or 5190 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 43.

The square root of 3420784528 is about 58487.4732571001. The cubic root of 3420784528 is about 1506.7524503676.

The spelling of 3420784528 in words is "three billion, four hundred twenty million, seven hundred eighty-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 199 217 248 398 434 496 796 868 1393 1592 1736 2786 3184 3472 4951 5572 6169 9902 11144 12338 19804 22288 24676 34657 39608 43183 49352 69314 79216 86366 98704 138628 153481 172732 277256 306962 345464 554512 613924 690928 985249 1074367 1227848 1970498 2148734 2455696 3940996 4297468 6896743 7881992 8594936 13793486 15763984 17189872 27586972 30542719 55173944 61085438 110347888 122170876 213799033 244341752 427598066 488683504 855196132 1710392264 3420784528