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3468288 = 21031129
BaseRepresentation
bin1101001110110000000000
320112012121010
431032300000
51341441123
6202200520
741323425
oct15166000
96465533
103468288
111a5985a
1211b3140
13945855
14663d4c
15487993
hex34ec00

3468288 has 44 divisors (see below), whose sum is σ = 9252440. Its totient is φ = 1155072.

The previous prime is 3468281. The next prime is 3468293. The reversal of 3468288 is 8828643.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (73728) is a multiple of the sum of its prime factors (1152).

It is not an unprimeable number, because it can be changed into a prime (3468281) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2508 + ... + 3636.

Almost surely, 23468288 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 3468288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626220).

3468288 is an abundant number, since it is smaller than the sum of its proper divisors (5784152).

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

3468288 is a wasteful number, since it uses less digits than its factorization.

3468288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1134 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 3468288 is about 1862.3340194498. The cubic root of 3468288 is about 151.3695028056.

The spelling of 3468288 in words is "three million, four hundred sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1129 1536 2258 3072 3387 4516 6774 9032 13548 18064 27096 36128 54192 72256 108384 144512 216768 289024 433536 578048 867072 1156096 1734144 3468288