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330877248 = 26313196977
BaseRepresentation
bin10011101110001…
…100100101000000
3212001121022020220
4103232030211000
51134201032443
652455503040
711125260462
oct2356144500
9761538226
10330877248
1115a853a79
1292987a80
135371c170
1431d30132
151e0aca83
hex13b8c940

330877248 has 112 divisors (see below), whose sum is σ = 992550720. Its totient is φ = 96436224.

The previous prime is 330877207. The next prime is 330877249. The reversal of 330877248 is 842778033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330877249) 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, 43936 + ... + 50912.

It is an arithmetic number, because the mean of its divisors is an integer number (8862060).

Almost surely, 2330877248 is an apocalyptic number.

330877248 is a gapful number since it is divisible by the number (38) 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 330877248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496275360).

330877248 is an abundant number, since it is smaller than the sum of its proper divisors (661673472).

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

330877248 is a wasteful number, since it uses less digits than its factorization.

330877248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7024 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 330877248 is about 18190.0315557725. The cubic root of 330877248 is about 691.6541200866.

The spelling of 330877248 in words is "three hundred thirty million, eight hundred seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 152 156 192 208 228 247 304 312 416 456 494 608 624 741 832 912 988 1216 1248 1482 1824 1976 2496 2964 3648 3952 5928 6977 7904 11856 13954 15808 20931 23712 27908 41862 47424 55816 83724 90701 111632 132563 167448 181402 223264 265126 272103 334896 362804 397689 446528 530252 544206 669792 725608 795378 1060504 1088412 1339584 1451216 1590756 1723319 2121008 2176824 2902432 3181512 3446638 4242016 4353648 5169957 5804864 6363024 6893276 8484032 8707296 10339914 12726048 13786552 17414592 20679828 25452096 27573104 41359656 55146208 82719312 110292416 165438624 330877248