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394024932 = 223371074871
BaseRepresentation
bin10111011111000…
…101011111100100
31000110102112121000
4113133011133210
51301332244212
6103033153300
712523104510
oct2737053744
91013375530
10394024932
11192464844
12abb5b830
136382ba62
143a48b140
15248d31dc
hex177c57e4

394024932 has 96 divisors (see below), whose sum is σ = 1178634240. Its totient is φ = 111503520.

The previous prime is 394024931. The next prime is 394024933. The reversal of 394024932 is 239420493.

It is an interprime number because it is at equal distance from previous prime (394024931) and next prime (394024933).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (394024931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78457 + ... + 83327.

It is an arithmetic number, because the mean of its divisors is an integer number (12277440).

Almost surely, 2394024932 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 394024932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589317120).

394024932 is an abundant number, since it is smaller than the sum of its proper divisors (784609308).

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

394024932 is a wasteful number, since it uses less digits than its factorization.

394024932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4998 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 394024932 is about 19850.0612593513. The cubic root of 394024932 is about 733.1191560945.

The spelling of 394024932 in words is "three hundred ninety-four million, twenty-four thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 107 108 126 189 214 252 321 378 428 642 749 756 963 1284 1498 1926 2247 2889 2996 3852 4494 4871 5778 6741 8988 9742 11556 13482 14613 19484 20223 26964 29226 34097 40446 43839 58452 68194 80892 87678 102291 131517 136388 175356 204582 263034 306873 409164 521197 526068 613746 920619 1042394 1227492 1563591 1841238 2084788 3127182 3648379 3682476 4690773 6254364 7296758 9381546 10945137 14072319 14593516 18763092 21890274 28144638 32835411 43780548 56289276 65670822 98506233 131341644 197012466 394024932