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332120240 = 24597127337
BaseRepresentation
bin10011110010111…
…100000010110000
3212010221110022122
4103302330002300
51140010321430
652542253412
711141655404
oct2362740260
9763843278
10332120240
11160522941
1293287268
1353a65b6a
1432175104
151e255ee5
hex13cbc0b0

332120240 has 80 divisors (see below), whose sum is σ = 788616192. Its totient is φ = 130056192.

The previous prime is 332120197. The next prime is 332120249. The reversal of 332120240 is 42021233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3321202402 = 220607707635315200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332120249) 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 15 ways as a sum of consecutive naturals, for example, 985352 + ... + 985688.

Almost surely, 2332120240 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 332120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394308096).

332120240 is an abundant number, since it is smaller than the sum of its proper divisors (456495952).

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

332120240 is a wasteful number, since it uses less digits than its factorization.

332120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 332120240 is about 18224.1663732529. The cubic root of 332120240 is about 692.5191399959.

Adding to 332120240 its reverse (42021233), we get a palindrome (374141473).

The spelling of 332120240 in words is "three hundred thirty-two million, one hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 127 194 254 337 388 485 508 635 674 776 970 1016 1270 1348 1552 1685 1940 2032 2540 2696 3370 3880 5080 5392 6740 7760 10160 12319 13480 24638 26960 32689 42799 49276 61595 65378 85598 98552 123190 130756 163445 171196 197104 213995 246380 261512 326890 342392 427990 492760 523024 653780 684784 855980 985520 1307560 1711960 2615120 3423920 4151503 8303006 16606012 20757515 33212024 41515030 66424048 83030060 166060120 332120240