Search a number
-
+
3455940 = 2235239241
BaseRepresentation
bin1101001011101111000100
320111120122210
431023233010
51341042230
6202023420
741242425
oct15135704
96446583
103455940
111a50554
1211a7b70
13940047
1465d64c
15483eb0
hex34bbc4

3455940 has 48 divisors (see below), whose sum is σ = 9757440. Its totient is φ = 913920.

The previous prime is 3455939. The next prime is 3455941. The reversal of 3455940 is 495543.

3455940 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3455939) and next prime (3455941).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3455898 and 3455907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3455941) 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, 14220 + ... + 14460.

It is an arithmetic number, because the mean of its divisors is an integer number (203280).

Almost surely, 23455940 is an apocalyptic number.

3455940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3455940 is an abundant number, since it is smaller than the sum of its proper divisors (6301500).

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

3455940 is a wasteful number, since it uses less digits than its factorization.

3455940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 3455940 is about 1859.0158686789. The cubic root of 3455940 is about 151.1896510371.

It can be divided in two parts, 345 and 5940, that multiplied together give a triangular number (2049300 = T2024).

The spelling of 3455940 in words is "three million, four hundred fifty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 239 241 478 482 717 723 956 964 1195 1205 1434 1446 2390 2410 2868 2892 3585 3615 4780 4820 7170 7230 14340 14460 57599 115198 172797 230396 287995 345594 575990 691188 863985 1151980 1727970 3455940