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3440745 = 335711331
BaseRepresentation
bin1101001000000001101001
320110210211000
431020001221
51340100440
6201425213
741150220
oct15100151
96423730
103440745
111a400a0
12119b209
13936159
14657cb7
1547e730
hex348069

3440745 has 64 divisors (see below), whose sum is σ = 7649280. Its totient is φ = 1425600.

The previous prime is 3440719. The next prime is 3440771. The reversal of 3440745 is 5470443.

3440745 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (3440719) and next prime (3440771).

It is not a de Polignac number, because 3440745 - 212 = 3436649 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10230 + ... + 10560.

It is an arithmetic number, because the mean of its divisors is an integer number (119520).

Almost surely, 23440745 is an apocalyptic number.

3440745 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3440745 is an abundant number, since it is smaller than the sum of its proper divisors (4208535).

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

3440745 is a wasteful number, since it uses less digits than its factorization.

3440745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 3440745 is about 1854.9245267665. The cubic root of 3440745 is about 150.9677430622.

The spelling of 3440745 in words is "three million, four hundred forty thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 135 165 189 231 297 315 331 385 495 693 945 993 1155 1485 1655 2079 2317 2979 3465 3641 4965 6951 8937 10395 10923 11585 14895 18205 20853 25487 32769 34755 44685 54615 62559 76461 98307 104265 127435 163845 229383 312795 382305 491535 688149 1146915 3440745