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2369376 = 253219433
BaseRepresentation
bin1001000010011101100000
311110101011200
421002131200
51101310001
6122441200
726065542
oct11023540
94411150
102369376
111379169
12963200
1364c5c9
14459692
1531c086
hex242760

2369376 has 72 divisors (see below), whose sum is σ = 7108920. Its totient is φ = 746496.

The previous prime is 2369371. The next prime is 2369383. The reversal of 2369376 is 6739632.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×23693762 = 11227885258752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 221 + 33 + 66 + 95 + 37 + 76 + 66 .

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2369376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2369371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5256 + ... + 5688.

It is an arithmetic number, because the mean of its divisors is an integer number (98735).

22369376 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 2369376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554460).

2369376 is an abundant number, since it is smaller than the sum of its proper divisors (4739544).

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

2369376 is a wasteful number, since it uses less digits than its factorization.

2369376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 457 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 2369376 is about 1539.2777527139. The cubic root of 2369376 is about 133.3146862812.

The spelling of 2369376 in words is "two million, three hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 433 456 608 684 866 912 1299 1368 1732 1824 2598 2736 3464 3897 5196 5472 6928 7794 8227 10392 13856 15588 16454 20784 24681 31176 32908 41568 49362 62352 65816 74043 98724 124704 131632 148086 197448 263264 296172 394896 592344 789792 1184688 2369376