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331150240 = 25519971123
BaseRepresentation
bin10011101111001…
…111001110100000
3212002010011201201
4103233033032200
51134233301430
652505410544
711130505411
oct2357171640
9762104651
10331150240
1115aa20093
1292a99a54
13537b64b5
1431da1808
151e1138ca
hex13bcf3a0

331150240 has 96 divisors (see below), whose sum is σ = 832749120. Its totient is φ = 124084224.

The previous prime is 331150231. The next prime is 331150243. The reversal of 331150240 is 42051133.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (331150243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294319 + ... + 295441.

It is an arithmetic number, because the mean of its divisors is an integer number (8674470).

Almost surely, 2331150240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416374560).

331150240 is an abundant number, since it is smaller than the sum of its proper divisors (501598880).

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

331150240 is a wasteful number, since it uses less digits than its factorization.

331150240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 331150240 is about 18197.5338988556. The cubic root of 331150240 is about 691.8442854108.

The spelling of 331150240 in words is "three hundred thirty-one million, one hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 97 152 160 190 194 304 380 388 485 608 760 776 970 1123 1520 1552 1843 1940 2246 3040 3104 3686 3880 4492 5615 7372 7760 8984 9215 11230 14744 15520 17968 18430 21337 22460 29488 35936 36860 42674 44920 58976 73720 85348 89840 106685 108931 147440 170696 179680 213370 217862 294880 341392 426740 435724 544655 682784 853480 871448 1089310 1706960 1742896 2069689 2178620 3413920 3485792 4139378 4357240 8278756 8714480 10348445 16557512 17428960 20696890 33115024 41393780 66230048 82787560 165575120 331150240