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4190634 = 232779421
BaseRepresentation
bin1111111111000110101010
321212220110200
433333012222
52033100014
6225453030
750422410
oct17770652
97786420
104190634
112402538
1214a1176
13b39586
147b12b0
1557ba09
hex3ff1aa

4190634 has 48 divisors (see below), whose sum is σ = 10533120. Its totient is φ = 1179360.

The previous prime is 4190629. The next prime is 4190663. The reversal of 4190634 is 4360914.

4190634 = 1412 + 1422 + ... + 2482.

It is a super-2 number, since 2×41906342 = 35122826643912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4190598 and 4190607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9744 + ... + 10164.

It is an arithmetic number, because the mean of its divisors is an integer number (219440).

Almost surely, 24190634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4190634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266560).

4190634 is an abundant number, since it is smaller than the sum of its proper divisors (6342486).

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

4190634 is a wasteful number, since it uses less digits than its factorization.

4190634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4190634 is about 2047.1038078222. The cubic root of 4190634 is about 161.2228438134. Note that the first 3 decimals are identical.

The spelling of 4190634 in words is "four million, one hundred ninety thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 158 237 421 474 553 711 842 1106 1263 1422 1659 2526 2947 3318 3789 4977 5894 7578 8841 9954 17682 26523 33259 53046 66518 99777 199554 232813 299331 465626 598662 698439 1396878 2095317 4190634