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384540632 = 23722813491
BaseRepresentation
bin10110111010111…
…001111111011000
3222210120200120122
4112322321333120
51241420300012
6102054012412
712346353500
oct2672717730
9883520518
10384540632
11188077083
12a8947108
136188ab48
14390dca00
1523b5ce72
hex16eb9fd8

384540632 has 48 divisors (see below), whose sum is σ = 841956120. Its totient is φ = 164169600.

The previous prime is 384540631. The next prime is 384540641. The reversal of 384540632 is 236045483.

It is a junction number, because it is equal to n+sod(n) for n = 384540592 and 384540601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384540631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108407 + ... + 111897.

Almost surely, 2384540632 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 384540632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420978060).

384540632 is an abundant number, since it is smaller than the sum of its proper divisors (457415488).

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

384540632 is a wasteful number, since it uses less digits than its factorization.

384540632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 3781 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 384540632 is about 19609.7075959842. The cubic root of 384540632 is about 727.1891860442.

The spelling of 384540632 in words is "three hundred eighty-four million, five hundred forty thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 281 392 562 1124 1967 2248 3491 3934 6982 7868 13769 13964 15736 24437 27538 27928 48874 55076 97748 110152 171059 195496 342118 684236 980971 1368472 1961942 3923884 6866797 7847768 13733594 27467188 48067579 54934376 96135158 192270316 384540632