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2384272 = 2411192331
BaseRepresentation
bin1001000110000110010000
311111010121101
421012012100
51102244042
6123034144
726160142
oct11060620
94433541
102384272
111389380
1296b954
13656317
14460c92
153216b7
hex246190

2384272 has 80 divisors (see below), whose sum is σ = 5713920. Its totient is φ = 950400.

The previous prime is 2384269. The next prime is 2384279. The reversal of 2384272 is 2724832.

It is a self number, because there is not a number n which added to its sum of digits gives 2384272.

It is not an unprimeable number, because it can be changed into a prime (2384279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76897 + ... + 76927.

It is an arithmetic number, because the mean of its divisors is an integer number (71424).

22384272 is an apocalyptic number.

2384272 is a gapful number since it is divisible by the number (22) 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 2384272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856960).

2384272 is an abundant number, since it is smaller than the sum of its proper divisors (3329648).

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

2384272 is a wasteful number, since it uses less digits than its factorization.

2384272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 86 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 2384272 is about 1544.1088044565. The cubic root of 2384272 is about 133.5934809828.

The spelling of 2384272 in words is "two million, three hundred eighty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 19 22 23 31 38 44 46 62 76 88 92 124 152 176 184 209 248 253 304 341 368 418 437 496 506 589 682 713 836 874 1012 1178 1364 1426 1672 1748 2024 2356 2728 2852 3344 3496 4048 4712 4807 5456 5704 6479 6992 7843 9424 9614 11408 12958 13547 15686 19228 25916 27094 31372 38456 51832 54188 62744 76912 103664 108376 125488 149017 216752 298034 596068 1192136 2384272