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334192428450 = 2345282516649
BaseRepresentation
bin1001101110011110110…
…10111100010110100010
31011221121110000100210000
410313033122330112202
520433411230202300
6413305331320430
733100412525556
oct4671732742642
91157543010700
10334192428450
11119803a05931
1254928450116
132568b94b2aa
14122642b1866
158a5e3bdc00
hex4dcf6bc5a2

334192428450 has 60 divisors (see below), whose sum is σ = 928559862450. Its totient is φ = 89117979840.

The previous prime is 334192428443. The next prime is 334192428467. The reversal of 334192428450 is 54824291433.

334192428450 is a `hidden beast` number, since 3 + 3 + 4 + 192 + 4 + 2 + 8 + 450 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 145955325681 + 188237102769 = 382041^2 + 433863^2 .

It is a super-2 number, since 2×3341924284502 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 334192428396 and 334192428405.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 41254275 + ... + 41262374.

Almost surely, 2334192428450 is an apocalyptic number.

334192428450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

334192428450 is an abundant number, since it is smaller than the sum of its proper divisors (594367434000).

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

334192428450 is a wasteful number, since it uses less digits than its factorization.

334192428450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82516673 (or 82516659 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 334192428450 in words is "three hundred thirty-four billion, one hundred ninety-two million, four hundred twenty-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 4050 82516649 165033298 247549947 412583245 495099894 742649841 825166490 1237749735 1485299682 2062916225 2227949523 2475499470 3713249205 4125832450 4455899046 6188748675 6683848569 7426498410 11139747615 12377497350 13367697138 18566246025 22279495230 33419242845 37132492050 55698738075 66838485690 111397476150 167096214225 334192428450