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378552640 = 26510910853
BaseRepresentation
bin10110100100000…
…100000101000000
3222101022110121011
4112210010011000
51233402141030
6101321410304
712244434004
oct2644040500
9871273534
10378552640
11184757224
12a6939994
136057245b
14383c0704
1523378b2a
hex16904140

378552640 has 56 divisors (see below), whose sum is σ = 909782280. Its totient is φ = 150018048.

The previous prime is 378552619. The next prime is 378552649. The reversal of 378552640 is 46255873.

It can be written as a sum of positive squares in 4 ways, for example, as 69355584 + 309197056 = 8328^2 + 17584^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 378552593 and 378552602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378552649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29454 + ... + 40306.

Almost surely, 2378552640 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 378552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454891140).

378552640 is an abundant number, since it is smaller than the sum of its proper divisors (531229640).

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

378552640 is a wasteful number, since it uses less digits than its factorization.

378552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10979 (or 10969 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 378552640 is about 19456.4292715801. The cubic root of 378552640 is about 723.3948730207.

The spelling of 378552640 in words is "three hundred seventy-eight million, five hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 160 218 320 436 545 872 1090 1744 2180 3488 4360 6976 8720 10853 17440 21706 34880 43412 54265 86824 108530 173648 217060 347296 434120 694592 868240 1182977 1736480 2365954 3472960 4731908 5914885 9463816 11829770 18927632 23659540 37855264 47319080 75710528 94638160 189276320 378552640