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3469248 = 263219317
BaseRepresentation
bin1101001110111111000000
320112020220200
431032333000
51342003443
6202205200
741326266
oct15167700
96466820
103469248
111a5a552
1211b3800
13946113
14664436
15487dd3
hex34efc0

3469248 has 84 divisors (see below), whose sum is σ = 10500360. Its totient is φ = 1092096.

The previous prime is 3469247. The next prime is 3469313. The reversal of 3469248 is 8429643.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a d-powerful number, because it can be written as 35 + 49 + 62 + 95 + 211 + 410 + 87 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3469247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10786 + ... + 11102.

Almost surely, 23469248 is an apocalyptic number.

3469248 is a gapful number since it is divisible by the number (38) 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 3469248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5250180).

3469248 is an abundant number, since it is smaller than the sum of its proper divisors (7031112).

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

3469248 is a wasteful number, since it uses less digits than its factorization.

3469248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 341 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3469248 is about 1862.5917427069. The cubic root of 3469248 is about 151.3834675549.

The spelling of 3469248 in words is "three million, four hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 317 342 456 576 608 634 684 912 951 1216 1268 1368 1824 1902 2536 2736 2853 3648 3804 5072 5472 5706 6023 7608 10144 10944 11412 12046 15216 18069 20288 22824 24092 30432 36138 45648 48184 54207 60864 72276 91296 96368 108414 144552 182592 192736 216828 289104 385472 433656 578208 867312 1156416 1734624 3469248