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3235305040 = 2451112772879
BaseRepresentation
bin1100000011010110…
…1101011001010000
322100110210112011121
43000311231121100
523111214230130
61253011452024
7143113432132
oct30065553120
98313715147
103235305040
111410277620
127635b7014
133c73803a6
14229979052
1513e073d7a
hexc0d6d650

3235305040 has 80 divisors (see below), whose sum is σ = 8215188480. Its totient is φ = 1175144960.

The previous prime is 3235305013. The next prime is 3235305041. The reversal of 3235305040 is 405035323.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 3235304996 and 3235305014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3235305041) 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, 1122321 + ... + 1125199.

It is an arithmetic number, because the mean of its divisors is an integer number (102689856).

Almost surely, 23235305040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3235305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107594240).

3235305040 is an abundant number, since it is smaller than the sum of its proper divisors (4979883440).

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

3235305040 is a wasteful number, since it uses less digits than its factorization.

3235305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 25.

The square root of 3235305040 is about 56879.7419122133. The cubic root of 3235305040 is about 1479.0121603804.

The spelling of 3235305040 in words is "three billion, two hundred thirty-five million, three hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1277 2554 2879 5108 5758 6385 10216 11516 12770 14047 14395 20432 23032 25540 28094 28790 31669 46064 51080 56188 57580 63338 70235 102160 112376 115160 126676 140470 158345 224752 230320 253352 280940 316690 506704 561880 633380 1123760 1266760 2533520 3676483 7352966 14705932 18382415 29411864 36764830 40441313 58823728 73529660 80882626 147059320 161765252 202206565 294118640 323530504 404413130 647061008 808826260 1617652520 3235305040