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376067328 = 2837135381
BaseRepresentation
bin10110011010100…
…101010100000000
3222012122012101120
4112122211110000
51232233123303
6101152232240
712214343130
oct2632452400
9865565346
10376067328
11183309a4a
12a5b3b680
135cbb2160
1437d34ac0
1523037553
hex166a5500

376067328 has 144 divisors (see below), whose sum is σ = 1232090496. Its totient is φ = 99164160.

The previous prime is 376067327. The next prime is 376067347. The reversal of 376067328 is 823760673.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 376067328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376067327) 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, 67198 + ... + 72578.

It is an arithmetic number, because the mean of its divisors is an integer number (8556184).

Almost surely, 2376067328 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 376067328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616045248).

376067328 is an abundant number, since it is smaller than the sum of its proper divisors (856023168).

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

376067328 is a wasteful number, since it uses less digits than its factorization.

376067328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5420 (or 5406 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 376067328 is about 19392.4554401963. The cubic root of 376067328 is about 721.8082941379.

The spelling of 376067328 in words is "three hundred seventy-six million, sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 1092 1248 1344 1456 1664 1792 2184 2496 2688 2912 3328 4368 4992 5376 5381 5824 8736 9984 10762 11648 16143 17472 21524 23296 32286 34944 37667 43048 64572 69888 69953 75334 86096 113001 129144 139906 150668 172192 209859 226002 258288 279812 301336 344384 419718 452004 489671 516576 559624 602672 688768 839436 904008 979342 1033152 1119248 1205344 1377536 1469013 1678872 1808016 1958684 2066304 2238496 2410688 2938026 3357744 3616032 3917368 4132608 4476992 4821376 5876052 6715488 7232064 7834736 8953984 9642752 11752104 13430976 14464128 15669472 17907968 23504208 26861952 28928256 31338944 47008416 53723904 62677888 94016832 125355776 188033664 376067328