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378805308 = 223723296761
BaseRepresentation
bin10110100101000…
…001110000111100
3222101210022012020
4112211001300330
51233433232213
6101331040140
712246535440
oct2645016074
9871708166
10378805308
1118490a042
12a6a40050
136063046b
1438448820
15233c8923
hex16941c3c

378805308 has 96 divisors (see below), whose sum is σ = 1090575360. Its totient is φ = 99939840.

The previous prime is 378805291. The next prime is 378805309. The reversal of 378805308 is 803508873.

It is a super-2 number, since 2×3788053082 = 286986922737949728, which contains 22 as substring.

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 378805308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378805309) 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 31 ways as a sum of consecutive naturals, for example, 52648 + ... + 59408.

It is an arithmetic number, because the mean of its divisors is an integer number (11360160).

Almost surely, 2378805308 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 378805308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545287680).

378805308 is an abundant number, since it is smaller than the sum of its proper divisors (711770052).

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

378805308 is a wasteful number, since it uses less digits than its factorization.

378805308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6827 (or 6825 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 378805308 is about 19462.9213634542. The cubic root of 378805308 is about 723.5557824653. Note that the first 3 decimals are identical.

The spelling of 378805308 in words is "three hundred seventy-eight million, eight hundred five thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 29 42 46 58 69 84 87 92 116 138 161 174 203 276 322 348 406 483 609 644 667 812 966 1218 1334 1932 2001 2436 2668 4002 4669 6761 8004 9338 13522 14007 18676 20283 27044 28014 40566 47327 56028 81132 94654 141981 155503 189308 196069 283962 311006 392138 466509 567924 588207 622012 784276 933018 1088521 1176414 1372483 1866036 2177042 2352828 2744966 3265563 4117449 4354084 4509587 5489932 6531126 8234898 9019174 13062252 13528761 16469796 18038348 27057522 31567109 54115044 63134218 94701327 126268436 189402654 378805308