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3405760428 = 2237197277743
BaseRepresentation
bin1100101011111111…
…1100011110101100
322210100112120000010
43022333330132230
523433333313203
61321541133220
7150253325460
oct31277743654
98710476003
103405760428
111498510244
127b06ba210
13423791a75
1424446a4a0
1514dee4303
hexcaffc7ac

3405760428 has 96 divisors (see below), whose sum is σ = 9173412864. Its totient is φ = 963341568.

The previous prime is 3405760403. The next prime is 3405760429. The reversal of 3405760428 is 8240675043.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3405760429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4583425 + ... + 4584167.

It is an arithmetic number, because the mean of its divisors is an integer number (95556384).

Almost surely, 23405760428 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 3405760428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586706432).

3405760428 is an abundant number, since it is smaller than the sum of its proper divisors (5767652436).

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

3405760428 is a wasteful number, since it uses less digits than its factorization.

3405760428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 3405760428 is about 58358.8933068474. The cubic root of 3405760428 is about 1504.5433253473.

The spelling of 3405760428 in words is "three billion, four hundred five million, seven hundred sixty thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 197 277 394 554 591 743 788 831 1108 1182 1379 1486 1662 1939 2229 2364 2758 2972 3324 3878 4137 4458 5201 5516 5817 7756 8274 8916 10402 11634 15603 16548 20804 23268 31206 54569 62412 109138 146371 163707 205811 218276 292742 327414 381983 411622 439113 585484 617433 654828 763966 823244 878226 1024597 1145949 1234866 1440677 1527932 1756452 2049194 2291898 2469732 2881354 3073791 4098388 4322031 4583796 5762708 6147582 8644062 12295164 17288124 40544767 81089534 121634301 162179068 243268602 283813369 486537204 567626738 851440107 1135253476 1702880214 3405760428