Search a number
-
+
3428040 = 2335721153
BaseRepresentation
bin1101000100111011001000
320110011101110
431010323020
51334144130
6201250320
741065200
oct15047310
96404343
103428040
111a315a0
1211939a0
13930435
14653400
1547aab0
hex344ec8

3428040 has 192 divisors, whose sum is σ = 13296960. Its totient is φ = 698880.

The previous prime is 3428027. The next prime is 3428057. The reversal of 3428040 is 408243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3427998 and 3428016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64654 + ... + 64706.

It is an arithmetic number, because the mean of its divisors is an integer number (69255).

Almost surely, 23428040 is an apocalyptic number.

3428040 is a gapful number since it is divisible by the number (30) 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 3428040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6648480).

3428040 is an abundant number, since it is smaller than the sum of its proper divisors (9868920).

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

3428040 is a wasteful number, since it uses less digits than its factorization.

3428040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3428040 is about 1851.4966918685. The cubic root of 3428040 is about 150.7816970330.

The spelling of 3428040 in words is "three million, four hundred twenty-eight thousand, forty".