Search a number
-
+
3430956 = 2232331401
BaseRepresentation
bin1101000101101000101100
320110022101110
431011220230
51334242311
6201312020
741106534
oct15055054
96408343
103430956
111a33801
121195610
13931869
146544c4
1547b8a6
hex345a2c

3430956 has 48 divisors (see below), whose sum is σ = 8644608. Its totient is φ = 1056000.

The previous prime is 3430951. The next prime is 3430967. The reversal of 3430956 is 6590343.

3430956 = T363 + T364 + ... + T408.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3430951) 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, 8356 + ... + 8756.

It is an arithmetic number, because the mean of its divisors is an integer number (180096).

Almost surely, 23430956 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 3430956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322304).

3430956 is an abundant number, since it is smaller than the sum of its proper divisors (5213652).

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

3430956 is a wasteful number, since it uses less digits than its factorization.

3430956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 3430956 is about 1852.2839955039. The cubic root of 3430956 is about 150.8244381542.

The spelling of 3430956 in words is "three million, four hundred thirty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 401 713 802 1203 1426 1604 2139 2406 2852 4278 4812 8556 9223 12431 18446 24862 27669 36892 37293 49724 55338 74586 110676 149172 285913 571826 857739 1143652 1715478 3430956