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438045342 = 237192167173
BaseRepresentation
bin11010000111000…
…000101010011110
31010112021000020120
4122013000222132
51344114422332
6111244455410
713566216060
oct3207005236
91115230216
10438045342
112052a0a49
1210284a566
136c9a2537
1442269730
15286cb32c
hex1a1c0a9e

438045342 has 96 divisors (see below), whose sum is σ = 1069189632. Its totient is φ = 117177408.

The previous prime is 438045329. The next prime is 438045379. The reversal of 438045342 is 243540834.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2531968 + ... + 2532140.

It is an arithmetic number, because the mean of its divisors is an integer number (11137392).

Almost surely, 2438045342 is an apocalyptic number.

438045342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 438045342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534594816).

438045342 is an abundant number, since it is smaller than the sum of its proper divisors (631144290).

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

438045342 is a wasteful number, since it uses less digits than its factorization.

438045342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 438045342 is about 20929.5327707047. The cubic root of 438045342 is about 759.4625366683.

The spelling of 438045342 in words is "four hundred thirty-eight million, forty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 167 173 266 334 346 361 399 501 519 722 798 1002 1038 1083 1169 1211 2166 2338 2422 2527 3173 3287 3507 3633 5054 6346 6574 7014 7266 7581 9519 9861 15162 19038 19722 22211 23009 28891 44422 46018 57782 60287 62453 66633 69027 86673 120574 124906 133266 138054 173346 180861 187359 202237 361722 374718 404474 422009 437171 548929 606711 844018 874342 1097858 1213422 1266027 1311513 1646787 2532054 2623026 3293574 3842503 7685006 10429651 11527509 20859302 23055018 31288953 62577906 73007557 146015114 219022671 438045342