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3455552240 = 245743143503
BaseRepresentation
bin1100110111110111…
…1000101011110000
322220211020020112022
43031331320223300
524034110132430
61330520251012
7151426465220
oct31575705360
98824206468
103455552240
1115136295a8
12805310a68
13430ba648a
1424ad0c080
1515357c4e5
hexcdf78af0

3455552240 has 80 divisors (see below), whose sum is σ = 9395493888. Its totient is φ = 1157200128.

The previous prime is 3455552227. The next prime is 3455552257. The reversal of 3455552240 is 422555543.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3455552240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47672 + ... + 95831.

Almost surely, 23455552240 is an apocalyptic number.

It is an amenable number.

3455552240 is an abundant number, since it is smaller than the sum of its proper divisors (5939941648).

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

3455552240 is a wasteful number, since it uses less digits than its factorization.

3455552240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143566 (or 143560 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 35.

The square root of 3455552240 is about 58783.9454273018. The cubic root of 3455552240 is about 1511.8399628120.

The spelling of 3455552240 in words is "three billion, four hundred fifty-five million, five hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 344 430 560 602 688 860 1204 1505 1720 2408 3010 3440 4816 6020 12040 24080 143503 287006 574012 717515 1004521 1148024 1435030 2009042 2296048 2870060 4018084 5022605 5740120 6170629 8036168 10045210 11480240 12341258 16072336 20090420 24682516 30853145 40180840 43194403 49365032 61706290 80361680 86388806 98730064 123412580 172777612 215972015 246825160 345555224 431944030 493650320 691110448 863888060 1727776120 3455552240