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330249960 = 23345101929
BaseRepresentation
bin10011101011110…
…011011011101000
3212000102102210000
4103223303123220
51134020444320
652434223000
711120035605
oct2353633350
9760372700
10330249960
1115a465757
1292724a60
135355c7a1
1431c096ac
151ded6c90
hex13af36e8

330249960 has 80 divisors (see below), whose sum is σ = 1110017700. Its totient is φ = 88065792.

The previous prime is 330249949. The next prime is 330249977. The reversal of 330249960 is 69942033.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 322058916 + 8191044 = 17946^2 + 2862^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47725 + ... + 54204.

Almost surely, 2330249960 is an apocalyptic number.

330249960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330249960 is an abundant number, since it is smaller than the sum of its proper divisors (779767740).

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

330249960 is a wasteful number, since it uses less digits than its factorization.

330249960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101952 (or 101939 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 330249960 is about 18172.7807448392. The cubic root of 330249960 is about 691.2167566829.

The spelling of 330249960 in words is "three hundred thirty million, two hundred forty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 101929 203858 305787 407716 509645 611574 815432 917361 1019290 1223148 1528935 1834722 2038580 2446296 2752083 3057870 3669444 4077160 4586805 5504166 6115740 7338888 8256249 9173610 11008332 12231480 13760415 16512498 18347220 22016664 27520830 33024996 36694440 41281245 55041660 66049992 82562490 110083320 165124980 330249960