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16407342 = 2327197661
BaseRepresentation
bin111110100101…
…101100101110
31010212120122100
4332211230232
513200013332
61343355530
7256313550
oct76455456
933776570
1016407342
119297096
1255b2ba6
1335260b3
1422714d0
15169167c
hexfa5b2e

16407342 has 48 divisors (see below), whose sum is σ = 40895712. Its totient is φ = 4656960.

The previous prime is 16407323. The next prime is 16407343. The reversal of 16407342 is 24370461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16407343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24492 + ... + 25152.

It is an arithmetic number, because the mean of its divisors is an integer number (851994).

Almost surely, 216407342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16407342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20447856).

16407342 is an abundant number, since it is smaller than the sum of its proper divisors (24488370).

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

16407342 is a wasteful number, since it uses less digits than its factorization.

16407342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 16407342 is about 4050.5977336685. The cubic root of 16407342 is about 254.1047266904.

The spelling of 16407342 in words is "sixteen million, four hundred seven thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 197 394 591 661 1182 1322 1379 1773 1983 2758 3546 3966 4137 4627 5949 8274 9254 11898 12411 13881 24822 27762 41643 83286 130217 260434 390651 781302 911519 1171953 1823038 2343906 2734557 5469114 8203671 16407342