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383680248 = 23377928909
BaseRepresentation
bin10110110111100…
…111111011111000
3222201221222100120
4112313213323320
51241210231443
6102023333240
712336141210
oct2667477370
9881858316
10383680248
11187639716
12a85b1220
1361649343
1438d57240
1523a3d083
hex16de7ef8

383680248 has 64 divisors (see below), whose sum is σ = 1110144000. Its totient is φ = 108231552.

The previous prime is 383680247. The next prime is 383680249. The reversal of 383680248 is 842086383.

It is an interprime number because it is at equal distance from previous prime (383680247) and next prime (383680249).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383680247) 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, 1183 + ... + 27726.

It is an arithmetic number, because the mean of its divisors is an integer number (17346000).

Almost surely, 2383680248 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 383680248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555072000).

383680248 is an abundant number, since it is smaller than the sum of its proper divisors (726463752).

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

383680248 is a wasteful number, since it uses less digits than its factorization.

383680248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29004 (or 29000 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 383680248 is about 19587.7576051982. The cubic root of 383680248 is about 726.6464352960.

The spelling of 383680248 in words is "three hundred eighty-three million, six hundred eighty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 237 316 474 553 632 948 1106 1659 1896 2212 3318 4424 6636 13272 28909 57818 86727 115636 173454 202363 231272 346908 404726 607089 693816 809452 1214178 1618904 2283811 2428356 4567622 4856712 6851433 9135244 13702866 15986677 18270488 27405732 31973354 47960031 54811464 63946708 95920062 127893416 191840124 383680248