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438329106 = 23224351617
BaseRepresentation
bin11010001000000…
…101111100010010
31010112210102111100
4122020011330102
51344203012411
6111254525230
713601510265
oct3210057422
91115712440
10438329106
11205475166
12102966816
136ca71747
1442300cdc
1528735456
hex1a205f12

438329106 has 12 divisors (see below), whose sum is σ = 949713102. Its totient is φ = 146109696.

The previous prime is 438329093. The next prime is 438329117. The reversal of 438329106 is 601923834.

It can be written as a sum of positive squares in only one way, i.e., 417998025 + 20331081 = 20445^2 + 4509^2 .

It is a super-4 number, since 4×4383291064 (a number of 36 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12175791 + ... + 12175826.

Almost surely, 2438329106 is an apocalyptic number.

438329106 is an abundant number, since it is smaller than the sum of its proper divisors (511383996).

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

438329106 is a wasteful number, since it uses less digits than its factorization.

438329106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24351625 (or 24351622 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 438329106 is about 20936.3107065213. The cubic root of 438329106 is about 759.6264935226.

It can be divided in two parts, 4383 and 29106, that added together give a square (33489 = 1832).

The spelling of 438329106 in words is "four hundred thirty-eight million, three hundred twenty-nine thousand, one hundred six".

Divisors: 1 2 3 6 9 18 24351617 48703234 73054851 146109702 219164553 438329106