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3154053330 = 234541731301
BaseRepresentation
bin1011101111111111…
…0000100011010010
322010210220111210000
42323333300203102
522424414201310
61240550150430
7141106003521
oct27377604322
98123814700
103154053330
111379420a4a
12740352416
133b35a235c
1421cc684b8
15136d744c0
hexbbff08d2

3154053330 has 160 divisors (see below), whose sum is σ = 8813529648. Its totient is φ = 808704000.

The previous prime is 3154053293. The next prime is 3154053359. The reversal of 3154053330 is 333504513.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 27342441 + 3126710889 = 5229^2 + 55917^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3154053294 and 3154053303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2423680 + ... + 2424980.

Almost surely, 23154053330 is an apocalyptic number.

3154053330 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 3154053330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406764824).

3154053330 is an abundant number, since it is smaller than the sum of its proper divisors (5659476318).

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

3154053330 is a wasteful number, since it uses less digits than its factorization.

3154053330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 3154053330 is about 56160.9591264252. The cubic root of 3154053330 is about 1466.5256975967.

Adding to 3154053330 its reverse (333504513), we get a palindrome (3487557843).

The spelling of 3154053330 in words is "three billion, one hundred fifty-four million, fifty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 73 81 82 90 123 135 146 162 205 219 246 270 365 369 405 410 438 615 657 730 738 810 1095 1107 1230 1301 1314 1845 1971 2190 2214 2602 2993 3285 3321 3690 3903 3942 5535 5913 5986 6505 6570 6642 7806 8979 9855 11070 11709 11826 13010 14965 16605 17958 19515 19710 23418 26937 29565 29930 33210 35127 39030 44895 53341 53874 58545 59130 70254 80811 89790 94973 105381 106682 117090 134685 160023 161622 175635 189946 210762 242433 266705 269370 284919 320046 351270 404055 474865 480069 484866 526905 533410 569838 800115 808110 854757 949730 960138 1053810 1212165 1424595 1440207 1600230 1709514 2400345 2424330 2564271 2849190 2880414 3893893 4273785 4320621 4800690 5128542 7201035 7692813 7787786 8547570 8641242 11681679 12821355 14402070 15385626 19469465 21603105 23363358 25642710 35045037 38464065 38938930 43206210 58408395 70090074 76928130 105135111 116816790 175225185 210270222 315405333 350450370 525675555 630810666 1051351110 1577026665 3154053330