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3473254980 = 22325133494253
BaseRepresentation
bin1100111100000101…
…1010101001000100
322222001112122010100
43033001122221010
524103123124410
61332351524100
7152033115546
oct31701325104
98861478110
103473254980
11152261a968
1280b229630
13434764080
1424d3d9696
15154dc78c0
hexcf05aa44

3473254980 has 144 divisors (see below), whose sum is σ = 11381151600. Its totient is φ = 852304896.

The previous prime is 3473254979. The next prime is 3473254997. The reversal of 3473254980 is 894523743.

3473254980 is a `hidden beast` number, since 34 + 73 + 2 + 549 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 463196484 + 3010058496 = 21522^2 + 54864^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 814534 + ... + 818786.

It is an arithmetic number, because the mean of its divisors is an integer number (79035775).

Almost surely, 23473254980 is an apocalyptic number.

3473254980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3473254980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5690575800).

3473254980 is an abundant number, since it is smaller than the sum of its proper divisors (7907896620).

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

3473254980 is a wasteful number, since it uses less digits than its factorization.

3473254980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4630 (or 4625 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3473254980 is about 58934.3276876898. The cubic root of 3473254980 is about 1514.4172774452.

The spelling of 3473254980 in words is "three billion, four hundred seventy-three million, two hundred fifty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 349 390 468 585 698 780 1047 1170 1396 1745 2094 2340 3141 3490 4188 4253 4537 5235 6282 6980 8506 9074 10470 12564 12759 13611 15705 17012 18148 20940 21265 22685 25518 27222 31410 38277 40833 42530 45370 51036 54444 55289 62820 63795 68055 76554 81666 85060 90740 110578 127590 136110 153108 163332 165867 191385 204165 221156 255180 272220 276445 331734 382770 408330 497601 552890 663468 765540 816660 829335 995202 1105780 1484297 1658670 1990404 2488005 2968594 3317340 4452891 4976010 5937188 7421485 8905782 9952020 13358673 14842970 17811564 19295861 22264455 26717346 29685940 38591722 44528910 53434692 57887583 66793365 77183444 89057820 96479305 115775166 133586730 173662749 192958610 231550332 267173460 289437915 347325498 385917220 578875830 694650996 868313745 1157751660 1736627490 3473254980