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4384368 = 243417199
BaseRepresentation
bin10000101110011001110000
322020202020000
4100232121300
52110244433
6233550000
752160262
oct20563160
98222200
104384368
11252504a
121575300
13ba6801
14821b32
155b9113
hex42e670

4384368 has 100 divisors (see below), whose sum is σ = 13503600. Its totient is φ = 1368576.

The previous prime is 4384357. The next prime is 4384379. The reversal of 4384368 is 8634834.

It is an interprime number because it is at equal distance from previous prime (4384357) and next prime (4384379).

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 nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21933 + ... + 22131.

It is an arithmetic number, because the mean of its divisors is an integer number (135036).

Almost surely, 24384368 is an apocalyptic number.

4384368 is a gapful number since it is divisible by the number (48) 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 4384368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6751800).

4384368 is an abundant number, since it is smaller than the sum of its proper divisors (9119232).

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

4384368 is a wasteful number, since it uses less digits than its factorization.

4384368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 221 counting only the distinct ones).

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

The square root of 4384368 is about 2093.8882491671. Note that the first 3 decimals coincide. The cubic root of 4384368 is about 163.6699688558.

The spelling of 4384368 in words is "four million, three hundred eighty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 199 204 216 272 306 324 398 408 432 459 597 612 648 796 816 918 1194 1224 1296 1377 1592 1791 1836 2388 2448 2754 3184 3383 3582 3672 4776 5373 5508 6766 7164 7344 9552 10149 10746 11016 13532 14328 16119 20298 21492 22032 27064 28656 30447 32238 40596 42984 54128 60894 64476 81192 85968 91341 121788 128952 162384 182682 243576 257904 274023 365364 487152 548046 730728 1096092 1461456 2192184 4384368