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3406252272 = 24383210301
BaseRepresentation
bin1100101100000111…
…0100100011110000
322210101110112200120
43023001310203300
523434000033042
61321555450240
7150260444433
oct31301644360
98711415616
103406252272
111498816825
127b08b6980
134239048b7
1424455781a
1514e08edec
hexcb0748f0

3406252272 has 60 divisors (see below), whose sum is σ = 8907644904. Its totient is φ = 1121628800.

The previous prime is 3406252259. The next prime is 3406252273. The reversal of 3406252272 is 2722526043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406252273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 325522 + ... + 335822.

Almost surely, 23406252272 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 3406252272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4453822452).

3406252272 is an abundant number, since it is smaller than the sum of its proper divisors (5501392632).

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

3406252272 is a wasteful number, since it uses less digits than its factorization.

3406252272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10478 (or 10389 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 3406252272 is about 58363.1071139980. The cubic root of 3406252272 is about 1504.6157482323.

The spelling of 3406252272 in words is "three billion, four hundred six million, two hundred fifty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3984 6889 10301 13778 20602 20667 27556 30903 41204 41334 55112 61806 82408 82668 110224 123612 164816 165336 247224 330672 494448 854983 1709966 2564949 3419932 5129898 6839864 10259796 13679728 20519592 41039184 70963589 141927178 212890767 283854356 425781534 567708712 851563068 1135417424 1703126136 3406252272