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3442693284 = 2232795472213
BaseRepresentation
bin1100110100110011…
…0101010010100100
322212221000221100200
43031030311102210
524022312141114
61325340510500
7151212260442
oct31514652244
98787027320
103442693284
111507346468
12800b4b430
1342b323524
14249321b92
1515238c409
hexcd3354a4

3442693284 has 72 divisors (see below), whose sum is σ = 8832620160. Its totient is φ = 1130455872.

The previous prime is 3442693279. The next prime is 3442693333. The reversal of 3442693284 is 4823962443.

3442693284 is a `hidden beast` number, since 344 + 26 + 9 + 3 + 284 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1554562 + ... + 1556774.

It is an arithmetic number, because the mean of its divisors is an integer number (122675280).

Almost surely, 23442693284 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 3442693284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416310080).

3442693284 is an abundant number, since it is smaller than the sum of its proper divisors (5389926876).

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

3442693284 is a wasteful number, since it uses less digits than its factorization.

3442693284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2844 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 3442693284 is about 58674.4687577144. The cubic root of 3442693284 is about 1509.9623229346.

The spelling of 3442693284 in words is "three billion, four hundred forty-two million, six hundred ninety-three thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 547 711 948 1094 1422 1641 2188 2213 2844 3282 4426 4923 6564 6639 8852 9846 13278 19692 19917 26556 39834 43213 79668 86426 129639 172852 174827 259278 349654 388917 518556 524481 699308 777834 1048962 1210511 1555668 1573443 2097924 2421022 3146886 3631533 4842044 6293772 7263066 10894599 14526132 21789198 43578396 95630369 191260738 286891107 382521476 573782214 860673321 1147564428 1721346642 3442693284