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3386314980 = 2232531875903
BaseRepresentation
bin1100100111010111…
…0001000011100100
322201222221121212100
43021311301003210
523413344034410
61320004252100
7146626126266
oct31165610344
98658847770
103386314980
111488539624
127a60a1030
1341c743b99
14241a47b36
1514c4528c0
hexc9d710e4

3386314980 has 72 divisors (see below), whose sum is σ = 10276785792. Its totient is φ = 902581056.

The previous prime is 3386314937. The next prime is 3386315003. The reversal of 3386314980 is 894136833.

3386314980 is a `hidden beast` number, since 3 + 3 + 8 + 631 + 4 + 9 + 8 + 0 = 666.

It is a super-2 number, since 2×33863149802 = 22934258287544800800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 570709 + ... + 576611.

It is an arithmetic number, because the mean of its divisors is an integer number (142733136).

Almost surely, 23386314980 is an apocalyptic number.

3386314980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3386314980 is an abundant number, since it is smaller than the sum of its proper divisors (6890470812).

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

3386314980 is a wasteful number, since it uses less digits than its factorization.

3386314980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9105 (or 9100 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3386314980 is about 58192.0525501550. The cubic root of 3386314980 is about 1501.6744235085.

The spelling of 3386314980 in words is "three billion, three hundred eighty-six million, three hundred fourteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3187 5903 6374 9561 11806 12748 15935 17709 19122 23612 28683 29515 31870 35418 38244 47805 53127 57366 59030 63740 70836 88545 95610 106254 114732 118060 143415 177090 191220 212508 265635 286830 354180 531270 573660 1062540 18812861 37625722 56438583 75251444 94064305 112877166 169315749 188128610 225754332 282192915 338631498 376257220 564385830 677262996 846578745 1128771660 1693157490 3386314980