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3405248 = 26711691
BaseRepresentation
bin1100111111010111000000
320102000010022
430333113000
51332431443
6200553012
740641560
oct14772700
96360108
103405248
111a16460
121182768
13922c52
14648da0
15473e68
hex33f5c0

3405248 has 56 divisors (see below), whose sum is σ = 8436864. Its totient is φ = 1324800.

The previous prime is 3405247. The next prime is 3405263. The reversal of 3405248 is 8425043.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405247) 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, 4583 + ... + 5273.

Almost surely, 23405248 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 3405248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218432).

3405248 is an abundant number, since it is smaller than the sum of its proper divisors (5031616).

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

3405248 is a wasteful number, since it uses less digits than its factorization.

3405248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 3405248 is about 1845.3314065501. The cubic root of 3405248 is about 150.4467864099.

The spelling of 3405248 in words is "three million, four hundred five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 691 704 1232 1382 2464 2764 4837 4928 5528 7601 9674 11056 15202 19348 22112 30404 38696 44224 53207 60808 77392 106414 121616 154784 212828 243232 309568 425656 486464 851312 1702624 3405248