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378406224 = 24327253629
BaseRepresentation
bin10110100011100…
…000010101010000
3222101001000202100
4112203200111100
51233332444344
6101314320400
712243254100
oct2643402520
9871030670
10378406224
11184667219
12a6889100
1360520911
1438383200
152334a569
hex168e0550

378406224 has 90 divisors (see below), whose sum is σ = 1231934730. Its totient is φ = 108114048.

The previous prime is 378406201. The next prime is 378406271. The reversal of 378406224 is 422604873.

It can be written as a sum of positive squares in only one way, i.e., 373262400 + 5143824 = 19320^2 + 2268^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 19759 + ... + 33870.

Almost surely, 2378406224 is an apocalyptic number.

It is an amenable number.

378406224 is an abundant number, since it is smaller than the sum of its proper divisors (853528506).

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

378406224 is a wasteful number, since it uses less digits than its factorization.

378406224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53657 (or 53641 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 378406224 is about 19452.6662439883. Note that the first 3 decimals coincide. The cubic root of 378406224 is about 723.3015964801.

The spelling of 378406224 in words is "three hundred seventy-eight million, four hundred six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 53629 107258 160887 214516 321774 375403 429032 482661 643548 750806 858064 965322 1126209 1287096 1501612 1930644 2252418 2574192 2627821 3003224 3378627 3861288 4504836 5255642 6006448 6757254 7722576 7883463 9009672 10511284 13514508 15766926 18019344 21022568 23650389 27029016 31533852 42045136 47300778 54058032 63067704 94601556 126135408 189203112 378406224