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4114368 = 26332381
BaseRepresentation
bin1111101100011111000000
321202000212000
433230133000
52023124433
6224104000
746654146
oct17543700
97660760
104114368
112360205
121465000
13b1094b
14791596
15564113
hex3ec7c0

4114368 has 56 divisors (see below), whose sum is σ = 12100560. Its totient is φ = 1370880.

The previous prime is 4114349. The next prime is 4114373. The reversal of 4114368 is 8634114.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 538 + ... + 2918.

Almost surely, 24114368 is an apocalyptic number.

4114368 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 4114368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6050280).

4114368 is an abundant number, since it is smaller than the sum of its proper divisors (7986192).

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

4114368 is a wasteful number, since it uses less digits than its factorization.

4114368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2386 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 4114368 is about 2028.3904949491. The cubic root of 4114368 is about 160.2388100503.

The spelling of 4114368 in words is "four million, one hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2381 4762 7143 9524 14286 19048 21429 28572 38096 42858 57144 64287 76192 85716 114288 128574 152384 171432 228576 257148 342864 457152 514296 685728 1028592 1371456 2057184 4114368