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3368448 = 29321743
BaseRepresentation
bin1100110110011000000000
320100010122100
430312120000
51330242243
6200110400
740426356
oct14663000
96303570
103368448
1119a0846
121165400
1390c285
146397d6
154680d3
hex336600

3368448 has 120 divisors (see below), whose sum is σ = 10532808. Its totient is φ = 1032192.

The previous prime is 3368423. The next prime is 3368461. The reversal of 3368448 is 8448633.

It is a super-2 number, since 2×33684482 = 22692883857408, which contains 22 as substring.

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 zygodrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78315 + ... + 78357.

Almost surely, 23368448 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 3368448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266404).

3368448 is an abundant number, since it is smaller than the sum of its proper divisors (7164360).

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

3368448 is a wasteful number, since it uses less digits than its factorization.

3368448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3368448 is about 1835.3332122533. Note that the first 3 decimals coincide. The cubic root of 3368448 is about 149.9028704526.

The spelling of 3368448 in words is "three million, three hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 43 48 51 64 68 72 86 96 102 128 129 136 144 153 172 192 204 256 258 272 288 306 344 384 387 408 512 516 544 576 612 688 731 768 774 816 1032 1088 1152 1224 1376 1462 1536 1548 1632 2064 2176 2193 2304 2448 2752 2924 3096 3264 4128 4352 4386 4608 4896 5504 5848 6192 6528 6579 8256 8704 8772 9792 11008 11696 12384 13056 13158 16512 17544 19584 22016 23392 24768 26112 26316 33024 35088 39168 46784 49536 52632 66048 70176 78336 93568 99072 105264 140352 187136 198144 210528 280704 374272 421056 561408 842112 1122816 1684224 3368448