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3284020224 = 210322315493
BaseRepresentation
bin1100001110111110…
…0010110000000000
322110212110111211200
43003233202300000
523211202121344
61301511541200
7144244465662
oct30357426000
98425414750
103284020224
111435820001
1277798a800
134044a8a44
1423221a532
15143498069
hexc3be2c00

3284020224 has 132 divisors (see below), whose sum is σ = 9895460016. Its totient is φ = 1047011328.

The previous prime is 3284020213. The next prime is 3284020253. The reversal of 3284020224 is 4220204823.

3284020224 is a `hidden beast` number, since 32 + 8 + 402 + 0 + 224 = 666.

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 11 ways as a sum of consecutive naturals, for example, 204222 + ... + 219714.

Almost surely, 23284020224 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 3284020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4947730008).

3284020224 is an abundant number, since it is smaller than the sum of its proper divisors (6611439792).

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

3284020224 is a wasteful number, since it uses less digits than its factorization.

3284020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15542 (or 15521 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 3284020224 is about 57306.3715829226. The cubic root of 3284020224 is about 1486.3985545671.

The spelling of 3284020224 in words is "three billion, two hundred eighty-four million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1024 1104 1152 1472 1536 1656 2208 2304 2944 3072 3312 4416 4608 5888 6624 8832 9216 11776 13248 15493 17664 23552 26496 30986 35328 46479 52992 61972 70656 92958 105984 123944 139437 185916 211968 247888 278874 356339 371832 495776 557748 712678 743664 991552 1069017 1115496 1425356 1487328 1983104 2138034 2230992 2850712 2974656 3207051 3966208 4276068 4461984 5701424 5949312 6414102 7932416 8552136 8923968 11402848 11898624 12828204 15864832 17104272 17847936 22805696 23797248 25656408 34208544 35695872 45611392 47594496 51312816 68417088 71391744 91222784 102625632 136834176 142783488 182445568 205251264 273668352 364891136 410502528 547336704 821005056 1094673408 1642010112 3284020224