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4355040 = 253543211
BaseRepresentation
bin10000100111001111100000
322012020222210
4100213033200
52103330130
6233202120
752005624
oct20471740
98166883
104355040
112505008
121560340
13b96361
14815184
155b05b0
hex4273e0

4355040 has 96 divisors (see below), whose sum is σ = 14103936. Its totient is φ = 1128960.

The previous prime is 4354969. The next prime is 4355053. The reversal of 4355040 is 405534.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4354998 and 4355016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20535 + ... + 20745.

It is an arithmetic number, because the mean of its divisors is an integer number (146916).

Almost surely, 24355040 is an apocalyptic number.

4355040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7051968).

4355040 is an abundant number, since it is smaller than the sum of its proper divisors (9748896).

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

4355040 is a wasteful number, since it uses less digits than its factorization.

4355040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 4355040 is about 2086.8732592086. The cubic root of 4355040 is about 163.3042106437.

The spelling of 4355040 in words is "four million, three hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 211 215 240 258 344 422 430 480 516 633 645 688 844 860 1032 1055 1266 1290 1376 1688 1720 2064 2110 2532 2580 3165 3376 3440 4128 4220 5064 5160 6330 6752 6880 8440 9073 10128 10320 12660 16880 18146 20256 20640 25320 27219 33760 36292 45365 50640 54438 72584 90730 101280 108876 136095 145168 181460 217752 272190 290336 362920 435504 544380 725840 871008 1088760 1451680 2177520 4355040