Search a number
-
+
3674112 = 21231323
BaseRepresentation
bin1110000001000000000000
320220122221020
432001000000
51420032422
6210425440
743141461
oct16010000
96818836
103674112
11208a462
121292280
139b8440
146b8d68
154c895c
hex381000

3674112 has 104 divisors (see below), whose sum is σ = 11008704. Its totient is φ = 1081344.

The previous prime is 3674101. The next prime is 3674129. The reversal of 3674112 is 2114763.

It is a tau number, because it is divible by the number of its divisors (104).

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (1008) is a multiple of the sum of its prime factors (63).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159733 + ... + 159755.

Almost surely, 23674112 is an apocalyptic number.

3674112 is a gapful number since it is divisible by the number (32) 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 3674112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504352).

3674112 is an abundant number, since it is smaller than the sum of its proper divisors (7334592).

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

3674112 is a wasteful number, since it uses less digits than its factorization.

3674112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 41 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 3674112 is about 1916.7973288796. The cubic root of 3674112 is about 154.3064679117.

Adding to 3674112 its reverse (2114763), we get a palindrome (5788875).

The spelling of 3674112 in words is "three million, six hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 128 138 156 184 192 208 256 276 299 312 368 384 416 512 552 598 624 736 768 832 897 1024 1104 1196 1248 1472 1536 1664 1794 2048 2208 2392 2496 2944 3072 3328 3588 4096 4416 4784 4992 5888 6144 6656 7176 8832 9568 9984 11776 12288 13312 14352 17664 19136 19968 23552 26624 28704 35328 38272 39936 47104 53248 57408 70656 76544 79872 94208 114816 141312 153088 159744 229632 282624 306176 459264 612352 918528 1224704 1837056 3674112