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3484471056 = 2431126924533
BaseRepresentation
bin1100111110110000…
…1100111100010000
322222211122110200120
43033230030330100
524114011033211
61333432150240
7152230341513
oct31754147420
98884573616
103484471056
111528990750
12812b38380
13436b902c1
14250ab8d7a
15155d90d06
hexcfb0cf10

3484471056 has 80 divisors (see below), whose sum is σ = 9856779840. Its totient is φ = 1051932160.

The previous prime is 3484471033. The next prime is 3484471063. The reversal of 3484471056 is 6501744843.

3484471056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3484470999 and 3484471017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129766 + ... + 154298.

It is an arithmetic number, because the mean of its divisors is an integer number (123209748).

Almost surely, 23484471056 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 3484471056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928389920).

3484471056 is an abundant number, since it is smaller than the sum of its proper divisors (6372308784).

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

3484471056 is a wasteful number, since it uses less digits than its factorization.

3484471056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24824 (or 24818 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 3484471056 is about 59029.4083995427. The cubic root of 3484471056 is about 1516.0456796385.

The spelling of 3484471056 in words is "three billion, four hundred eighty-four million, four hundred seventy-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 269 528 538 807 1076 1614 2152 2959 3228 4304 5918 6456 8877 11836 12912 17754 23672 24533 35508 47344 49066 71016 73599 98132 142032 147198 196264 269863 294396 392528 539726 588792 809589 1079452 1177584 1619178 2158904 3238356 4317808 6476712 6599377 12953424 13198754 19798131 26397508 39596262 52795016 72593147 79192524 105590032 145186294 158385048 217779441 290372588 316770096 435558882 580745176 871117764 1161490352 1742235528 3484471056