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978150330 = 2365134177
BaseRepresentation
bin111010010011010…
…110001110111010
32112011120012000000
4322103112032322
54000401302310
6241021053430
733145066143
oct7223261672
92464505000
10978150330
1146215a903
122336b7276
13127859ba1
1493ca0aca
155ad174c0
hex3a4d63ba

978150330 has 56 divisors (see below), whose sum is σ = 2639817972. Its totient is φ = 260838144.

The previous prime is 978150307. The next prime is 978150337. The reversal of 978150330 is 33051879.

It can be written as a sum of positive squares in 2 ways, for example, as 935809281 + 42341049 = 30591^2 + 6507^2 .

It is not an unprimeable number, because it can be changed into a prime (978150337) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 59799 + ... + 74378.

Almost surely, 2978150330 is an apocalyptic number.

978150330 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

978150330 is an abundant number, since it is smaller than the sum of its proper divisors (1661667642).

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

978150330 is a wasteful number, since it uses less digits than its factorization.

978150330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134202 (or 134187 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 978150330 is about 31275.3949615349. The cubic root of 978150330 is about 992.6630778905.

The spelling of 978150330 in words is "nine hundred seventy-eight million, one hundred fifty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2430 3645 7290 134177 268354 402531 670885 805062 1207593 1341770 2012655 2415186 3622779 4025310 6037965 7245558 10868337 12075930 18113895 21736674 32605011 36227790 54341685 65210022 97815033 108683370 163025055 195630066 326050110 489075165 978150330