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3457040 = 24579547
BaseRepresentation
bin1101001100000000010000
320111122011112
431030000100
51341111130
6202032452
741245556
oct15140020
96448145
103457040
111a51364
1211a8728
139406b2
1465dbd6
15484495
hex34c010

3457040 has 40 divisors (see below), whose sum is σ = 8154240. Its totient is φ = 1362816.

The previous prime is 3457037. The next prime is 3457049. The reversal of 3457040 is 407543.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×34570402 = 23902251123200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3456997 and 3457015.

It is not an unprimeable number, because it can be changed into a prime (3457049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6047 + ... + 6593.

It is an arithmetic number, because the mean of its divisors is an integer number (203856).

Almost surely, 23457040 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 3457040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077120).

3457040 is an abundant number, since it is smaller than the sum of its proper divisors (4697200).

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

3457040 is a wasteful number, since it uses less digits than its factorization.

3457040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 3457040 is about 1859.3117006032. The cubic root of 3457040 is about 151.2056901827.

The spelling of 3457040 in words is "three million, four hundred fifty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 547 632 790 1094 1264 1580 2188 2735 3160 4376 5470 6320 8752 10940 21880 43213 43760 86426 172852 216065 345704 432130 691408 864260 1728520 3457040