Search a number
-
+
2374164 = 2233131989
BaseRepresentation
bin1001000011101000010100
311110121202000
421003220110
51101433124
6122515300
726115522
oct11035024
94417660
102374164
111381821
12965b30
13651840
1445b312
1531d6c9
hex243a14

2374164 has 96 divisors (see below), whose sum is σ = 7056000. Its totient is φ = 684288.

The previous prime is 2374157. The next prime is 2374189. The reversal of 2374164 is 4614732.

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

Its product of digits (4032) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26632 + ... + 26720.

It is an arithmetic number, because the mean of its divisors is an integer number (73500).

22374164 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 2374164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528000).

2374164 is an abundant number, since it is smaller than the sum of its proper divisors (4681836).

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

2374164 is a wasteful number, since it uses less digits than its factorization.

2374164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 2374164 is about 1540.8322426533. The cubic root of 2374164 is about 133.4044259759.

Adding to 2374164 its reverse (4614732), we get a palindrome (6988896).

The spelling of 2374164 in words is "two million, three hundred seventy-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 89 108 114 117 156 171 178 228 234 247 267 342 351 356 468 494 513 534 684 702 741 801 988 1026 1068 1157 1404 1482 1602 1691 2052 2223 2314 2403 2964 3204 3382 3471 4446 4628 4806 5073 6669 6764 6942 8892 9612 10146 10413 13338 13884 15219 20292 20826 21983 26676 30438 31239 41652 43966 45657 60876 62478 65949 87932 91314 124956 131898 182628 197847 263796 395694 593541 791388 1187082 2374164