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3428436 = 22311191367
BaseRepresentation
bin1101000101000001010100
320110011221010
431011001110
51334202221
6201252220
741066304
oct15050124
96404833
103428436
111a31920
121194070
1393067b
14653604
1547ac76
hex345054

3428436 has 48 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 983520.

The previous prime is 3428423. The next prime is 3428437. The reversal of 3428436 is 6348243.

It is a d-powerful number, because it can be written as 32 + 43 + 221 + 83 + 410 + 37 + 67 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1825 + ... + 3191.

It is an arithmetic number, because the mean of its divisors is an integer number (191520).

Almost surely, 23428436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3428436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

3428436 is an abundant number, since it is smaller than the sum of its proper divisors (5764524).

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

3428436 is a wasteful number, since it uses less digits than its factorization.

3428436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1402 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 3428436 is about 1851.6036292900. The cubic root of 3428436 is about 150.7875028048.

It can be divided in two parts, 342 and 8436, that added together give a palindrome (8778).

The spelling of 3428436 in words is "three million, four hundred twenty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 1367 2508 2734 4101 5468 8202 15037 16404 25973 30074 45111 51946 60148 77919 90222 103892 155838 180444 285703 311676 571406 857109 1142812 1714218 3428436