Search a number
-
+
376828032 = 273732861
BaseRepresentation
bin10110011101011…
…111000010000000
3222021001211212210
4112131133002000
51232431444112
6101220422120
712223662000
oct2635370200
9867054783
10376828032
11183789529
12a6247940
13600ba489
1438092000
1523137b3c
hex1675f080

376828032 has 128 divisors (see below), whose sum is σ = 1167696000. Its totient is φ = 107627520.

The previous prime is 376828031. The next prime is 376828037. The reversal of 376828032 is 230828673.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (376828031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130282 + ... + 133142.

It is an arithmetic number, because the mean of its divisors is an integer number (9122625).

Almost surely, 2376828032 is an apocalyptic number.

376828032 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 376828032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583848000).

376828032 is an abundant number, since it is smaller than the sum of its proper divisors (790867968).

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

376828032 is an equidigital number, since it uses as much as digits as its factorization.

376828032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 376828032 is about 19412.0589325295. The cubic root of 376828032 is about 722.2946544300.

The spelling of 376828032 in words is "three hundred seventy-six million, eight hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 343 384 392 448 588 672 686 784 896 1029 1176 1344 1372 1568 2058 2352 2688 2744 2861 3136 4116 4704 5488 5722 6272 8232 8583 9408 10976 11444 16464 17166 18816 20027 21952 22888 32928 34332 40054 43904 45776 60081 65856 68664 80108 91552 120162 131712 137328 140189 160216 183104 240324 274656 280378 320432 366208 420567 480648 549312 560756 640864 841134 961296 981323 1098624 1121512 1281728 1682268 1922592 1962646 2243024 2563456 2943969 3364536 3845184 3925292 4486048 5887938 6729072 7690368 7850584 8972096 11775876 13458144 15701168 17944192 23551752 26916288 31402336 47103504 53832576 62804672 94207008 125609344 188414016 376828032