Search a number
-
+
3415140 = 2232518973
BaseRepresentation
bin1101000001110001100100
320102111200200
431001301210
51333241030
6201110500
741012451
oct15016144
96374620
103415140
111a22933
121188430
139275c1
1464c828
15476d60
hex341c64

3415140 has 36 divisors (see below), whose sum is σ = 10359804. Its totient is φ = 910656.

The previous prime is 3415123. The next prime is 3415183. The reversal of 3415140 is 415143.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1218816 + 2196324 = 1104^2 + 1482^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9307 + ... + 9666.

Almost surely, 23415140 is an apocalyptic number.

3415140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3415140 is an abundant number, since it is smaller than the sum of its proper divisors (6944664).

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

3415140 is a wasteful number, since it uses less digits than its factorization.

3415140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18988 (or 18983 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3415140 is about 1848.0097402341. The cubic root of 3415140 is about 150.5923245984.

It can be divided in two parts, 34151 and 40, that added together give a triangular number (34191 = T261).

The spelling of 3415140 in words is "three million, four hundred fifteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 18973 37946 56919 75892 94865 113838 170757 189730 227676 284595 341514 379460 569190 683028 853785 1138380 1707570 3415140