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3348502000 = 24537123581
BaseRepresentation
bin1100011110010110…
…0001010111110000
322122100210112012121
43013211201113300
523324204031000
61312134004024
7145656540334
oct30745412760
98570715177
103348502000
111469162128
127954a6614
1341496493c
1423aa037c4
15148e83b1a
hexc79615f0

3348502000 has 80 divisors (see below), whose sum is σ = 8211063744. Its totient is φ = 1320480000.

The previous prime is 3348501997. The next prime is 3348502007. The reversal of 3348502000 is 2058433.

3348502000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×33485020002 = 22424931288008000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3348502007) 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, 130210 + ... + 153790.

Almost surely, 23348502000 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 3348502000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105531872).

3348502000 is an abundant number, since it is smaller than the sum of its proper divisors (4862561744).

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

3348502000 is a wasteful number, since it uses less digits than its factorization.

3348502000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23675 (or 23659 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3348502000 is about 57866.2423179525. The cubic root of 3348502000 is about 1496.0640516105.

The spelling of 3348502000 in words is "three billion, three hundred forty-eight million, five hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 142 200 250 284 355 400 500 568 710 1000 1136 1420 1775 2000 2840 3550 5680 7100 8875 14200 17750 23581 28400 35500 47162 71000 94324 117905 142000 188648 235810 377296 471620 589525 943240 1179050 1674251 1886480 2358100 2947625 3348502 4716200 5895250 6697004 8371255 9432400 11790500 13394008 16742510 23581000 26788016 33485020 41856275 47162000 66970040 83712550 133940080 167425100 209281375 334850200 418562750 669700400 837125500 1674251000 3348502000