Search a number
-
+
3464680 = 235372341
BaseRepresentation
bin1101001101110111101000
320112000122111
431031313220
51341332210
6202132104
741310052
oct15156750
96460574
103464680
111a5707a
1211b1034
1394400b
146628d2
1548688a
hex34dde8

3464680 has 32 divisors (see below), whose sum is σ = 8009640. Its totient is φ = 1347840.

The previous prime is 3464647. The next prime is 3464683. The reversal of 3464680 is 864643.

3464680 = 342 + 352 + ... + 2182.

It can be written as a sum of positive squares in 4 ways, for example, as 3378244 + 86436 = 1838^2 + 294^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3464683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310 + ... + 2650.

Almost surely, 23464680 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 3464680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004820).

3464680 is an abundant number, since it is smaller than the sum of its proper divisors (4544960).

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

3464680 is a wasteful number, since it uses less digits than its factorization.

3464680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 3464680 is about 1861.3650904645. The cubic root of 3464680 is about 151.3169955689.

The spelling of 3464680 in words is "three million, four hundred sixty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 2341 4682 9364 11705 18728 23410 46820 86617 93640 173234 346468 433085 692936 866170 1732340 3464680