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3284049552 = 243729379109
BaseRepresentation
bin1100001110111110…
…1001111010010000
322110212112000001220
43003233221322100
523211204041202
61301512325040
7144244650330
oct30357517220
98425460056
103284049552
111435840043
127779a3780
134044b91b4
142322270c0
151434a1abc
hexc3be9e90

3284049552 has 160 divisors (see below), whose sum is σ = 10302316800. Its totient is φ = 881362944.

The previous prime is 3284049533. The next prime is 3284049577. The reversal of 3284049552 is 2559404823.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355974 + ... + 365082.

It is an arithmetic number, because the mean of its divisors is an integer number (64389480).

Almost surely, 23284049552 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 3284049552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5151158400).

3284049552 is an abundant number, since it is smaller than the sum of its proper divisors (7018267248).

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

3284049552 is a wasteful number, since it uses less digits than its factorization.

3284049552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9193 (or 9187 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 3284049552 is about 57306.6274701277. The cubic root of 3284049552 is about 1486.4029793233.

The spelling of 3284049552 in words is "three billion, two hundred eighty-four million, forty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 37 42 48 56 58 74 84 87 111 112 116 148 168 174 203 222 232 259 296 336 348 406 444 464 518 592 609 696 777 812 888 1036 1073 1218 1392 1554 1624 1776 2072 2146 2436 3108 3219 3248 4144 4292 4872 6216 6438 7511 8584 9109 9744 12432 12876 15022 17168 18218 22533 25752 27327 30044 36436 45066 51504 54654 60088 63763 72872 90132 109308 120176 127526 145744 180264 191289 218616 255052 264161 337033 360528 382578 437232 510104 528322 674066 765156 792483 1011099 1020208 1056644 1348132 1530312 1584966 1849127 2022198 2113288 2359231 2696264 3060624 3169932 3698254 4044396 4226576 4718462 5392528 5547381 6339864 7077693 7396508 8088792 9436924 9773957 11094762 12679728 14155386 14793016 16177584 18873848 19547914 22189524 28310772 29321871 29586032 37747696 39095828 44379048 56621544 58643742 68417699 78191656 88758096 113243088 117287484 136835398 156383312 205253097 234574968 273670796 410506194 469149936 547341592 821012388 1094683184 1642024776 3284049552