Search a number
-
+
370130944 = 214192941
BaseRepresentation
bin10110000011111…
…100000000000000
3221210110121012111
4112003330000000
51224223142234
6100421105104
712113026651
oct2603740000
9853417174
10370130944
1117aa24947
12a3b58194
135b8b40c1
143722b528
1522763664
hex160fc000

370130944 has 120 divisors (see below), whose sum is σ = 825728400. Its totient is φ = 165150720.

The previous prime is 370130941. The next prime is 370130983. The reversal of 370130944 is 449031073.

It is a super-2 number, since 2×3701309442 = 273993831412662272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (370130941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9027564 + ... + 9027604.

It is an arithmetic number, because the mean of its divisors is an integer number (6881070).

Almost surely, 2370130944 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 370130944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412864200).

370130944 is an abundant number, since it is smaller than the sum of its proper divisors (455597456).

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

370130944 is an equidigital number, since it uses as much as digits as its factorization.

370130944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 370130944 is about 19238.7874877810. The cubic root of 370130944 is about 717.9901147761.

The spelling of 370130944 in words is "three hundred seventy million, one hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 19 29 32 38 41 58 64 76 82 116 128 152 164 232 256 304 328 464 512 551 608 656 779 928 1024 1102 1189 1216 1312 1558 1856 2048 2204 2378 2432 2624 3116 3712 4096 4408 4756 4864 5248 6232 7424 8192 8816 9512 9728 10496 12464 14848 16384 17632 19024 19456 20992 22591 24928 29696 35264 38048 38912 41984 45182 49856 59392 70528 76096 77824 83968 90364 99712 118784 141056 152192 155648 167936 180728 199424 237568 282112 304384 311296 335872 361456 398848 475136 564224 608768 671744 722912 797696 1128448 1217536 1445824 1595392 2256896 2435072 2891648 3190784 4513792 4870144 5783296 6381568 9027584 9740288 11566592 12763136 19480576 23133184 46266368 92532736 185065472 370130944