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3084047064 = 2332721316673
BaseRepresentation
bin1011011111010010…
…1101001011011000
321221221011211020100
42313310231023120
522304004001224
61230005455400
7136265652600
oct26764551330
97857154210
103084047064
11134295622a
12720a11560
133a1c30a27
14213843c00
15130b46ac9
hexb7d2d2d8

3084047064 has 144 divisors (see below), whose sum is σ = 9791959320. Its totient is φ = 874298880.

The previous prime is 3084047047. The next prime is 3084047077. The reversal of 3084047064 is 4607404803.

It is a super-2 number, since 2×30840470642 = 19022692585934040192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 458832 + ... + 465504.

Almost surely, 23084047064 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 3084047064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4895979660).

3084047064 is an abundant number, since it is smaller than the sum of its proper divisors (6707912256).

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

3084047064 is a wasteful number, since it uses less digits than its factorization.

3084047064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6830 (or 6816 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3084047064 is about 55534.1972481821. The cubic root of 3084047064 is about 1455.5942533110.

The spelling of 3084047064 in words is "three billion, eighty-four million, forty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 131 147 168 196 252 262 294 392 393 441 504 524 588 786 882 917 1048 1176 1179 1572 1764 1834 2358 2751 3144 3528 3668 4716 5502 6419 6673 7336 8253 9432 11004 12838 13346 16506 19257 20019 22008 25676 26692 33012 38514 40038 46711 51352 53384 57771 60057 66024 77028 80076 93422 115542 120114 140133 154056 160152 186844 231084 240228 280266 326977 373688 420399 462168 480456 560532 653954 840798 874163 980931 1121064 1307908 1681596 1748326 1961862 2615816 2622489 2942793 3363192 3496652 3923724 5244978 5885586 6119141 6993304 7847448 7867467 10489956 11771172 12238282 15734934 18357423 20979912 23542344 24476564 31469868 36714846 42833987 48953128 55072269 62939736 73429692 85667974 110144538 128501961 146859384 171335948 220289076 257003922 342671896 385505883 440578152 514007844 771011766 1028015688 1542023532 3084047064