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3429756 = 2233112887
BaseRepresentation
bin1101000101010101111100
320110020202000
431011111330
51334223011
6201302300
741103201
oct15052574
96406660
103429756
111a32910
121194990
13931155
14653ca8
1547b356
hex34557c

3429756 has 48 divisors (see below), whose sum is σ = 9703680. Its totient is φ = 1038960.

The previous prime is 3429749. The next prime is 3429757. The reversal of 3429756 is 6579243.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 3429756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3429757) 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, 256 + ... + 2631.

It is an arithmetic number, because the mean of its divisors is an integer number (202160).

Almost surely, 23429756 is an apocalyptic number.

3429756 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3429756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4851840).

3429756 is an abundant number, since it is smaller than the sum of its proper divisors (6273924).

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

3429756 is a wasteful number, since it uses less digits than its factorization.

3429756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2903 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 3429756 is about 1851.9600427655. The cubic root of 3429756 is about 150.8068521490.

The spelling of 3429756 in words is "three million, four hundred twenty-nine thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 2887 5774 8661 11548 17322 25983 31757 34644 51966 63514 77949 95271 103932 127028 155898 190542 285813 311796 381084 571626 857439 1143252 1714878 3429756