Search a number
-
+
374421120 = 27351911021
BaseRepresentation
bin10110010100010…
…011011010000000
3222002112120012220
4112110103122000
51231322433440
6101053051040
712164345523
oct2624233200
9862476186
10374421120
11182395147
12a5486a80
135c756a78
1437a26bba
1522d0e8d0
hex16513680

374421120 has 128 divisors (see below), whose sum is σ = 1200890880. Its totient is φ = 99225600.

The previous prime is 374421119. The next prime is 374421121. The reversal of 374421120 is 21124473.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (374421119) and next prime (374421121).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (374421121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366210 + ... + 367230.

It is an arithmetic number, because the mean of its divisors is an integer number (9381960).

Almost surely, 2374421120 is an apocalyptic number.

374421120 is a gapful number since it is divisible by the number (30) 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 374421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600445440).

374421120 is an abundant number, since it is smaller than the sum of its proper divisors (826469760).

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

374421120 is a wasteful number, since it uses less digits than its factorization.

374421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 374421120 is about 19349.9643410524. The cubic root of 374421120 is about 720.7535320867.

Adding to 374421120 its reverse (21124473), we get a palindrome (395545593).

The spelling of 374421120 in words is "three hundred seventy-four million, four hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 191 192 240 320 382 384 480 573 640 764 955 960 1021 1146 1528 1910 1920 2042 2292 2865 3056 3063 3820 4084 4584 5105 5730 6112 6126 7640 8168 9168 10210 11460 12224 12252 15280 15315 16336 18336 20420 22920 24448 24504 30560 30630 32672 36672 40840 45840 49008 61120 61260 65344 73344 81680 91680 98016 122240 122520 130688 163360 183360 195011 196032 245040 326720 366720 390022 392064 490080 585033 653440 780044 975055 980160 1170066 1560088 1950110 1960320 2340132 2925165 3120176 3900220 4680264 5850330 6240352 7800440 9360528 11700660 12480704 15600880 18721056 23401320 24961408 31201760 37442112 46802640 62403520 74884224 93605280 124807040 187210560 374421120