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3134559450 = 23521121710159
BaseRepresentation
bin1011101011010101…
…1001010011011010
322002110020010012110
42322311121103122
522404421400300
61235012253150
7140451213201
oct27265312332
98073203173
103134559450
111369416a00
127359111b6
133ac538409
1421a432238
151352c3550
hexbad594da

3134559450 has 144 divisors (see below), whose sum is σ = 9048170880. Its totient is φ = 715123200.

The previous prime is 3134559437. The next prime is 3134559457. The reversal of 3134559450 is 549554313.

It is a super-3 number, since 3×31345594503 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3134559399 and 3134559408.

It is not an unprimeable number, because it can be changed into a prime (3134559457) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 303471 + ... + 313629.

It is an arithmetic number, because the mean of its divisors is an integer number (62834520).

Almost surely, 23134559450 is an apocalyptic number.

3134559450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134559450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4524085440).

3134559450 is an abundant number, since it is smaller than the sum of its proper divisors (5913611430).

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

3134559450 is a wasteful number, since it uses less digits than its factorization.

3134559450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10213 (or 10197 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The square root of 3134559450 is about 55987.1364690140. The cubic root of 3134559450 is about 1463.4981249869.

The spelling of 3134559450 in words is "three billion, one hundred thirty-four million, five hundred fifty-nine thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 17 22 25 30 33 34 50 51 55 66 75 85 102 110 121 150 165 170 187 242 255 275 330 363 374 425 510 550 561 605 726 825 850 935 1122 1210 1275 1650 1815 1870 2057 2550 2805 3025 3630 4114 4675 5610 6050 6171 9075 9350 10159 10285 12342 14025 18150 20318 20570 28050 30477 30855 50795 51425 60954 61710 101590 102850 111749 152385 154275 172703 223498 253975 304770 308550 335247 345406 507950 518109 558745 670494 761925 863515 1036218 1117490 1229239 1523850 1676235 1727030 1899733 2458478 2590545 2793725 3352470 3687717 3799466 4317575 5181090 5587450 5699199 6146195 7375434 8381175 8635150 9498665 11398398 12292390 12952725 16762350 18438585 18997330 20897063 25905450 28495995 30730975 36877170 41794126 47493325 56991990 61461950 62691189 92192925 94986650 104485315 125382378 142479975 184385850 208970630 284959950 313455945 522426575 626911890 1044853150 1567279725 3134559450