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3390486390 = 2335411631879
BaseRepresentation
bin1100101000010110…
…1011011101110110
322202021210112222000
43022011223131312
523420431031030
61320233520130
7150006441654
oct31205533566
98667715860
103390486390
11148a928675
127a7573046
13420574785
14242411dd4
1514c9c8860
hexca16b776

3390486390 has 128 divisors (see below), whose sum is σ = 9323596800. Its totient is φ = 876199680.

The previous prime is 3390486289. The next prime is 3390486397. The reversal of 3390486390 is 936840933.

3390486390 is a `hidden beast` number, since 3 + 3 + 9 + 0 + 4 + 8 + 639 + 0 = 666.

It is a super-2 number, since 2×33904863902 = 22990795921550464200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3390486397) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1803471 + ... + 1805349.

It is an arithmetic number, because the mean of its divisors is an integer number (72840600).

Almost surely, 23390486390 is an apocalyptic number.

3390486390 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 3390486390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661798400).

3390486390 is an abundant number, since it is smaller than the sum of its proper divisors (5933110410).

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

3390486390 is a wasteful number, since it uses less digits than its factorization.

3390486390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3390486390 is about 58227.8832691006. The cubic root of 3390486390 is about 1502.2907797711.

The spelling of 3390486390 in words is "three billion, three hundred ninety million, four hundred eighty-six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 163 205 246 270 326 369 410 489 615 738 815 978 1107 1230 1467 1630 1845 1879 2214 2445 2934 3690 3758 4401 4890 5535 5637 6683 7335 8802 9395 11070 11274 13366 14670 16911 18790 20049 22005 28185 33415 33822 40098 44010 50733 56370 60147 66830 77039 84555 100245 101466 120294 154078 169110 180441 200490 231117 253665 300735 306277 360882 385195 462234 507330 601470 612554 693351 770390 902205 918831 1155585 1386702 1531385 1804410 1837662 2080053 2311170 2756493 3062770 3466755 4160106 4594155 5512986 6933510 8269479 9188310 10400265 12557357 13782465 16538958 20800530 25114714 27564930 37672071 41347395 62786785 75344142 82694790 113016213 125573570 188360355 226032426 339048639 376720710 565081065 678097278 1130162130 1695243195 3390486390