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384090414 = 23373315227
BaseRepresentation
bin10110111001001…
…100000100101110
3222202201210222220
4112321030010232
51241311343124
6102040220210
712342500061
oct2671140456
9882653886
10384090414
111878998a4
12a876a666
1361760c46
14390228d8
1523abe879
hex16e4c12e

384090414 has 32 divisors (see below), whose sum is σ = 791477376. Its totient is φ = 124169760.

The previous prime is 384090407. The next prime is 384090433. The reversal of 384090414 is 414090483.

It is a happy number.

It is a super-2 number, since 2×3840904142 = 295050892253382792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70869 + ... + 76095.

It is an arithmetic number, because the mean of its divisors is an integer number (24733668).

Almost surely, 2384090414 is an apocalyptic number.

384090414 is an abundant number, since it is smaller than the sum of its proper divisors (407386962).

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

384090414 is a wasteful number, since it uses less digits than its factorization.

384090414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5600.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 384090414 is about 19598.2247665445. The cubic root of 384090414 is about 726.9052788858.

The spelling of 384090414 in words is "three hundred eighty-four million, ninety thousand, four hundred fourteen".

Divisors: 1 2 3 6 37 74 111 222 331 662 993 1986 5227 10454 12247 15681 24494 31362 36741 73482 193399 386798 580197 1160394 1730137 3460274 5190411 10380822 64015069 128030138 192045207 384090414