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331498980 = 223451712037
BaseRepresentation
bin10011110000100…
…100010111100100
3212002202220010000
4103300210113210
51134330431410
652521101300
711133460221
oct2360442744
9762686100
10331498980
111601390aa
1293027830
13538a9157
1432052948
151e181dc0
hex13c245e4

331498980 has 120 divisors (see below), whose sum is σ = 1101188088. Its totient is φ = 83192832.

The previous prime is 331498969. The next prime is 331498987. The reversal of 331498980 is 89894133.

It can be written as a sum of positive squares in 4 ways, for example, as 4901796 + 326597184 = 2214^2 + 18072^2 .

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

It is not an unprimeable number, because it can be changed into a prime (331498987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21522 + ... + 33558.

Almost surely, 2331498980 is an apocalyptic number.

331498980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331498980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550594044).

331498980 is an abundant number, since it is smaller than the sum of its proper divisors (769689108).

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

331498980 is a wasteful number, since it uses less digits than its factorization.

331498980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12075 (or 12064 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 331498980 is about 18207.1134450247. The cubic root of 331498980 is about 692.0870645686.

The spelling of 331498980 in words is "three hundred thirty-one million, four hundred ninety-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 510 540 612 765 810 918 1020 1377 1530 1620 1836 2295 2754 3060 4590 5508 6885 9180 12037 13770 24074 27540 36111 48148 60185 72222 108333 120370 144444 180555 204629 216666 240740 324999 361110 409258 433332 541665 613887 649998 722220 818516 974997 1023145 1083330 1227774 1299996 1624995 1841661 1949994 2046290 2166660 2455548 3069435 3249990 3683322 3899988 4092580 4874985 5524983 6138870 6499980 7366644 9208305 9749970 11049966 12277740 16574949 18416610 19499940 22099932 27624915 33149898 36833220 55249830 66299796 82874745 110499660 165749490 331498980