Search a number
-
+
3443961465 = 325723538969
BaseRepresentation
bin1100110101000110…
…1010111001111001
322220000102100222100
43031101222321321
524023123231330
61325424014013
7151226121660
oct31521527171
98800370870
103443961465
11150803224a
12801461309
1342b678829
14249571dd7
1515253d060
hexcd46ae79

3443961465 has 96 divisors (see below), whose sum is σ = 7254074880. Its totient is φ = 1477352448.

The previous prime is 3443961463. The next prime is 3443961509. The reversal of 3443961465 is 5641693443.

It is not a de Polignac number, because 3443961465 - 21 = 3443961463 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Together with 3810113415 it forms an amicable pair .

It is a self number, because there is not a number n which added to its sum of digits gives 3443961465.

It is not an unprimeable number, because it can be changed into a prime (3443961463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 379501 + ... + 388469.

It is an arithmetic number, because the mean of its divisors is an integer number (75563280).

Almost surely, 23443961465 is an apocalyptic number.

3443961465 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3443961465 is an abundant number, since it is smaller than the sum of its proper divisors (3810113415).

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

3443961465 is a wasteful number, since it uses less digits than its factorization.

3443961465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9063 (or 9060 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 3443961465 is about 58685.2746862448. The cubic root of 3443961465 is about 1510.1477078729.

The spelling of 3443961465 in words is "three billion, four hundred forty-three million, nine hundred sixty-one thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 53 63 69 105 115 159 161 207 265 315 345 371 477 483 795 805 1035 1113 1219 1449 1855 2385 2415 3339 3657 5565 6095 7245 8533 8969 10971 16695 18285 25599 26907 42665 44845 54855 62783 76797 80721 127995 134535 188349 206287 313915 383985 403605 475357 565047 618861 941745 1031435 1426071 1444009 1856583 2376785 2825235 3094305 3327499 4278213 4332027 7130355 7220045 9282915 9982497 10933211 12996081 16637495 21391065 21660135 29947491 32799633 49912485 54666055 64980405 76532477 98398899 149737455 163998165 229597431 382662385 491994495 688792293 1147987155 3443961465