Search a number
-
+
3464920 = 235292103
BaseRepresentation
bin1101001101111011011000
320112000222101
431031323120
51341334140
6202133144
741310544
oct15157330
96460871
103464920
111a57278
1211b11b4
13944164
14662a24
1548699a
hex34ded8

3464920 has 48 divisors (see below), whose sum is σ = 8152560. Its totient is φ = 1325184.

The previous prime is 3464917. The next prime is 3464921. The reversal of 3464920 is 294643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3464921) 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 11 ways as a sum of consecutive naturals, for example, 33589 + ... + 33691.

It is an arithmetic number, because the mean of its divisors is an integer number (169845).

Almost surely, 23464920 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 3464920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4076280).

3464920 is an abundant number, since it is smaller than the sum of its proper divisors (4687640).

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

3464920 is a wasteful number, since it uses less digits than its factorization.

3464920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 3464920 is about 1861.4295581622. The cubic root of 3464920 is about 151.3204894212.

The spelling of 3464920 in words is "three million, four hundred sixty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 103 116 145 206 232 290 412 515 580 824 841 1030 1160 1682 2060 2987 3364 4120 4205 5974 6728 8410 11948 14935 16820 23896 29870 33640 59740 86623 119480 173246 346492 433115 692984 866230 1732460 3464920