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331368648 = 233131935503
BaseRepresentation
bin10011110000000…
…100100011001000
3212002112021022220
4103300010203020
51134312244043
652514214040
711132405232
oct2360044310
9762467286
10331368648
1116005a196
1292b84320
1353861a30
143201b252
151e158483
hex13c048c8

331368648 has 64 divisors (see below), whose sum is σ = 896931840. Its totient is φ = 101412864.

The previous prime is 331368629. The next prime is 331368649. The reversal of 331368648 is 846863133.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (331368649) 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, 57465 + ... + 62967.

It is an arithmetic number, because the mean of its divisors is an integer number (14014560).

Almost surely, 2331368648 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 331368648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448465920).

331368648 is an abundant number, since it is smaller than the sum of its proper divisors (565563192).

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

331368648 is a wasteful number, since it uses less digits than its factorization.

331368648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5718 (or 5714 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 331368648 is about 18203.5339426167. The cubic root of 331368648 is about 691.9963524594.

The spelling of 331368648 in words is "three hundred thirty-one million, three hundred sixty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 193 312 386 579 772 1158 1544 2316 2509 4632 5018 5503 7527 10036 11006 15054 16509 20072 22012 30108 33018 44024 60216 66036 71539 132072 143078 214617 286156 429234 572312 858468 1062079 1716936 2124158 3186237 4248316 6372474 8496632 12744948 13807027 25489896 27614054 41421081 55228108 82842162 110456216 165684324 331368648