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416061434 = 21729571739
BaseRepresentation
bin11000110011001…
…001011111111010
31001222220002222202
4120303021133322
51323002431214
6105141350202
713211315045
oct3063113772
91058802882
10416061434
111a3946128
12b7408362
13682760c9
143d385c5c
15267d76de
hex18cc97fa

416061434 has 32 divisors (see below), whose sum is σ = 685713600. Its totient is φ = 188455680.

The previous prime is 416061431. The next prime is 416061511. The reversal of 416061434 is 434160614.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 416061397 and 416061406.

It is not an unprimeable number, because it can be changed into a prime (416061431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562637 + ... + 563375.

It is an arithmetic number, because the mean of its divisors is an integer number (21428550).

Almost surely, 2416061434 is an apocalyptic number.

416061434 is a deficient number, since it is larger than the sum of its proper divisors (269652166).

416061434 is a wasteful number, since it uses less digits than its factorization.

416061434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358.

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 416061434 is about 20397.5840236044. The cubic root of 416061434 is about 746.5389768448.

The spelling of 416061434 in words is "four hundred sixteen million, sixty-one thousand, four hundred thirty-four".

Divisors: 1 2 17 29 34 58 493 571 739 986 1142 1478 9707 12563 16559 19414 21431 25126 33118 42862 281503 364327 421969 563006 728654 843938 7173473 12237101 14346946 24474202 208030717 416061434