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3472114476 = 22317731072179
BaseRepresentation
bin1100111011110100…
…0100001100101100
322221222101200122110
43032331010030230
524102330130401
61332311244020
7152020325505
oct31675041454
98858350573
103472114476
111521a10aa6
1280a979610
13434454c0c
1424d1bdbac
15154c4e9d6
hexcef4432c

3472114476 has 96 divisors (see below), whose sum is σ = 8780970240. Its totient is φ = 1063839744.

The previous prime is 3472114469. The next prime is 3472114517. The reversal of 3472114476 is 6744112743.

3472114476 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1592355 + ... + 1594533.

It is an arithmetic number, because the mean of its divisors is an integer number (91468440).

Almost surely, 23472114476 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 3472114476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390485120).

3472114476 is an abundant number, since it is smaller than the sum of its proper divisors (5308855764).

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

3472114476 is a wasteful number, since it uses less digits than its factorization.

3472114476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2381 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 3472114476 is about 58924.6508347737. The cubic root of 3472114476 is about 1514.2514975011.

The spelling of 3472114476 in words is "three billion, four hundred seventy-two million, one hundred fourteen thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 73 102 107 146 204 214 219 292 321 428 438 642 876 1241 1284 1819 2179 2482 3638 3723 4358 4964 5457 6537 7276 7446 7811 8716 10914 13074 14892 15622 21828 23433 26148 31244 37043 46866 74086 93732 111129 132787 148172 159067 222258 233153 265574 318134 398361 444516 466306 477201 531148 636268 699459 796722 932612 954402 1398918 1593444 1908804 2704139 2797836 3963601 5408278 7927202 8112417 10816556 11890803 15854404 16224834 17020169 23781606 32449668 34040338 47563212 51060507 68080676 102121014 204242028 289342873 578685746 868028619 1157371492 1736057238 3472114476