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402274312 = 231129283557
BaseRepresentation
bin10111111110100…
…011100000001000
31001000221122121121
4113332203200020
51310440234222
6103530045024
712653163256
oct2776434010
91030848547
10402274312
11197089710
12b2879774
136545984b
143b5d75d6
15254b25c7
hex17fa3808

402274312 has 64 divisors (see below), whose sum is σ = 855748800. Its totient is φ = 175607040.

The previous prime is 402274307. The next prime is 402274319. The reversal of 402274312 is 213472204.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (402274319) 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, 721938 + ... + 722494.

It is an arithmetic number, because the mean of its divisors is an integer number (13371075).

Almost surely, 2402274312 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 402274312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427874400).

402274312 is an abundant number, since it is smaller than the sum of its proper divisors (453474488).

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

402274312 is a wasteful number, since it uses less digits than its factorization.

402274312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 402274312 is about 20056.7772087143. Note that the first 3 decimals coincide. The cubic root of 402274312 is about 738.2001009482.

The spelling of 402274312 in words is "four hundred two million, two hundred seventy-four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 283 319 557 566 638 1114 1132 1276 2228 2264 2552 3113 4456 6127 6226 8207 12254 12452 16153 16414 24508 24904 32306 32828 49016 64612 65656 90277 129224 157631 177683 180554 315262 355366 361108 630524 710732 722216 1261048 1421464 1733941 3467882 4571299 6935764 9142598 13871528 18285196 36570392 50284289 100568578 201137156 402274312