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3490464 = 253103353
BaseRepresentation
bin1101010100001010100000
320120100000110
431110022200
51343143324
6202451320
741445165
oct15241240
96510013
103490464
111a7448a
121203b40
13952983
1466c06c
1548e329
hex3542a0

3490464 has 48 divisors (see below), whose sum is σ = 9277632. Its totient is φ = 1148928.

The previous prime is 3490463. The next prime is 3490483. The reversal of 3490464 is 4640943.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (3490463) 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, 9712 + ... + 10064.

It is an arithmetic number, because the mean of its divisors is an integer number (193284).

Almost surely, 23490464 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 3490464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638816).

3490464 is an abundant number, since it is smaller than the sum of its proper divisors (5787168).

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

3490464 is a wasteful number, since it uses less digits than its factorization.

3490464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3490464 is about 1868.2783518523. The cubic root of 3490464 is about 151.6914331142.

The spelling of 3490464 in words is "three million, four hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 353 412 618 706 824 1059 1236 1412 1648 2118 2472 2824 3296 4236 4944 5648 8472 9888 11296 16944 33888 36359 72718 109077 145436 218154 290872 436308 581744 872616 1163488 1745232 3490464