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3454464 = 29313173
BaseRepresentation
bin1101001011011000000000
320111111122010
431023120000
51341020324
6202012520
741235216
oct15133000
96444563
103454464
111a4a432
1211a7140
1393c480
1465ccb6
15483829
hex34b600

3454464 has 80 divisors (see below), whose sum is σ = 9968112. Its totient is φ = 1056768.

The previous prime is 3454457. The next prime is 3454469. The reversal of 3454464 is 4644543.

3454464 = T107 + T108 + ... + T279.

3454464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 313 + 46 + 57 + 47 + 47 + 68 + 48 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3454469) 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, 19882 + ... + 20054.

Almost surely, 23454464 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 3454464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4984056).

3454464 is an abundant number, since it is smaller than the sum of its proper divisors (6513648).

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

3454464 is a wasteful number, since it uses less digits than its factorization.

3454464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 3454464 is about 1858.6188420437. The cubic root of 3454464 is about 151.1681240718.

The spelling of 3454464 in words is "three million, four hundred fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 173 192 208 256 312 346 384 416 512 519 624 692 768 832 1038 1248 1384 1536 1664 2076 2249 2496 2768 3328 4152 4498 4992 5536 6656 6747 8304 8996 9984 11072 13494 16608 17992 19968 22144 26988 33216 35984 44288 53976 66432 71968 88576 107952 132864 143936 215904 265728 287872 431808 575744 863616 1151488 1727232 3454464