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378494208 = 283418253
BaseRepresentation
bin10110100011110…
…101110100000000
3222101012111110000
4112203311310000
51233343303313
6101320240000
712244101441
oct2643656400
9871174400
10378494208
11184717334
12a6910000
1360551991
14383a72c8
1523366673
hex168f5d00

378494208 has 90 divisors (see below), whose sum is σ = 1128663074. Its totient is φ = 126157824.

The previous prime is 378494191. The next prime is 378494227. The reversal of 378494208 is 802494873.

It can be written as a sum of positive squares in only one way, i.e., 199148544 + 179345664 = 14112^2 + 13392^2 .

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 11610 + ... + 29862.

Almost surely, 2378494208 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 378494208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564331537).

378494208 is an abundant number, since it is smaller than the sum of its proper divisors (750168866).

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

378494208 is an equidigital number, since it uses as much as digits as its factorization.

378494208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18281 (or 18258 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 378494208 is about 19454.9276020241. The cubic root of 378494208 is about 723.3576509105.

The spelling of 378494208 in words is "three hundred seventy-eight million, four hundred ninety-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 18253 20736 36506 54759 73012 109518 146024 164277 219036 292048 328554 438072 492831 584096 657108 876144 985662 1168192 1314216 1478493 1752288 1971324 2336384 2628432 2956986 3504576 3942648 4672768 5256864 5913972 7009152 7885296 10513728 11827944 14018304 15770592 21027456 23655888 31541184 42054912 47311776 63082368 94623552 126164736 189247104 378494208