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2369472 = 26374143
BaseRepresentation
bin1001000010011111000000
311110101022020
421002133000
51101310342
6122441440
726066040
oct11023700
94411266
102369472
111379246
12963280
1364c671
14459720
1531c0ec
hex2427c0

2369472 has 112 divisors (see below), whose sum is σ = 7510272. Its totient is φ = 645120.

The previous prime is 2369467. The next prime is 2369473. The reversal of 2369472 is 2749632.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×23694722 = 11228795117568, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

Its product of digits (18144) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2369473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55083 + ... + 55125.

It is an arithmetic number, because the mean of its divisors is an integer number (67056).

22369472 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 2369472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755136).

2369472 is an abundant number, since it is smaller than the sum of its proper divisors (5140800).

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

2369472 is a wasteful number, since it uses less digits than its factorization.

2369472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 96 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 2369472 is about 1539.3089358540. The cubic root of 2369472 is about 133.3164867604.

The spelling of 2369472 in words is "two million, three hundred sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 43 48 56 64 82 84 86 96 112 123 129 164 168 172 192 224 246 258 287 301 328 336 344 448 492 516 574 602 656 672 688 861 903 984 1032 1148 1204 1312 1344 1376 1722 1763 1806 1968 2064 2296 2408 2624 2752 3444 3526 3612 3936 4128 4592 4816 5289 6888 7052 7224 7872 8256 9184 9632 10578 12341 13776 14104 14448 18368 19264 21156 24682 27552 28208 28896 37023 42312 49364 55104 56416 57792 74046 84624 98728 112832 148092 169248 197456 296184 338496 394912 592368 789824 1184736 2369472