Search a number
-
+
2374056 = 233329379
BaseRepresentation
bin1001000011100110101000
311110121121000
421003212220
51101432211
6122515000
726115306
oct11034650
94417530
102374056
111381733
12965a60
13651789
1445b276
1531d656
hex2439a8

2374056 has 64 divisors (see below), whose sum is σ = 6840000. Its totient is φ = 762048.

The previous prime is 2374051. The next prime is 2374061. The reversal of 2374056 is 6504732.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2374051) and next prime (2374061).

It is a super-2 number, since 2×23740562 = 11272283782272, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2374051) 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, 6075 + ... + 6453.

It is an arithmetic number, because the mean of its divisors is an integer number (106875).

22374056 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 2374056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420000).

2374056 is an abundant number, since it is smaller than the sum of its proper divisors (4465944).

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

2374056 is a wasteful number, since it uses less digits than its factorization.

2374056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2374056 is about 1540.7971962591. The cubic root of 2374056 is about 133.4024031030.

Adding to 2374056 its reverse (6504732), we get a palindrome (8878788).

The spelling of 2374056 in words is "two million, three hundred seventy-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 379 522 696 758 783 1044 1137 1516 1566 2088 2274 3032 3132 3411 4548 6264 6822 9096 10233 10991 13644 20466 21982 27288 32973 40932 43964 65946 81864 87928 98919 131892 197838 263784 296757 395676 593514 791352 1187028 2374056