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3090464 = 2513171923
BaseRepresentation
bin1011110010100000100000
312211000022122
423302200200
51242343324
6150123412
735161046
oct13624040
95730278
103090464
111820a03
121050568
138428a0
145a6396
15410a5e
hex2f2820

3090464 has 96 divisors (see below), whose sum is σ = 7620480. Its totient is φ = 1216512.

The previous prime is 3090463. The next prime is 3090469. The reversal of 3090464 is 4640903.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (3090463) 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, 134357 + ... + 134379.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

Almost surely, 23090464 is an apocalyptic number.

3090464 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3090464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810240).

3090464 is an abundant number, since it is smaller than the sum of its proper divisors (4530016).

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

3090464 is a wasteful number, since it uses less digits than its factorization.

3090464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 3090464 is about 1757.9715583592. The cubic root of 3090464 is about 145.6603099184.

The spelling of 3090464 in words is "three million, ninety thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 19 23 26 32 34 38 46 52 68 76 92 104 136 152 184 208 221 247 272 299 304 323 368 391 416 437 442 494 544 598 608 646 736 782 874 884 988 1196 1292 1564 1748 1768 1976 2392 2584 3128 3496 3536 3952 4199 4784 5083 5168 5681 6256 6992 7072 7429 7904 8398 9568 10166 10336 11362 12512 13984 14858 16796 20332 22724 29716 33592 40664 45448 59432 67184 81328 90896 96577 118864 134368 162656 181792 193154 237728 386308 772616 1545232 3090464