Search a number
-
+
3535434 = 233747199
BaseRepresentation
bin1101011111001001001010
320122121201000
431133021022
51401113214
6203435430
742023250
oct15371112
96577630
103535434
111aa5251
121225b76
1396a296
146805d0
1549c809
hex35f24a

3535434 has 64 divisors (see below), whose sum is σ = 9216000. Its totient is φ = 983664.

The previous prime is 3535423. The next prime is 3535447. The reversal of 3535434 is 4345353.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3535398 and 3535407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17667 + ... + 17865.

It is an arithmetic number, because the mean of its divisors is an integer number (144000).

Almost surely, 23535434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3535434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608000).

3535434 is an abundant number, since it is smaller than the sum of its proper divisors (5680566).

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

3535434 is a wasteful number, since it uses less digits than its factorization.

3535434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its digits is 10800, while the sum is 27.

The square root of 3535434 is about 1880.2749798899. The cubic root of 3535434 is about 152.3401029423.

It can be divided in two parts, 3535 and 434, that added together give a square (3969 = 632).

The spelling of 3535434 in words is "three million, five hundred thirty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 94 126 141 189 199 282 329 378 398 423 597 658 846 987 1194 1269 1393 1791 1974 2538 2786 2961 3582 4179 5373 5922 8358 8883 9353 10746 12537 17766 18706 25074 28059 37611 56118 65471 75222 84177 130942 168354 196413 252531 392826 505062 589239 1178478 1767717 3535434