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378774272 = 2819431811
BaseRepresentation
bin10110100100111…
…010001100000000
3222101201201121202
4112210322030000
51233431234042
6101330240332
712246346112
oct2644721400
9871651552
10378774272
11184898798
12a6a260a8
136061c2b6
143843b3b2
15233be632
hex1693a300

378774272 has 72 divisors (see below), whose sum is σ = 814820160. Its totient is φ = 175150080.

The previous prime is 378774271. The next prime is 378774283. The reversal of 378774272 is 272477873.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (378774271) 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 7 ways as a sum of consecutive naturals, for example, 208247 + ... + 210057.

Almost surely, 2378774272 is an apocalyptic number.

378774272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378774272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407410080).

378774272 is an abundant number, since it is smaller than the sum of its proper divisors (436045888).

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

378774272 is a wasteful number, since it uses less digits than its factorization.

378774272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1875 counting only the distinct ones).

The product of its digits is 921984, while the sum is 47.

The square root of 378774272 is about 19462.1240361889. The cubic root of 378774272 is about 723.5360213109.

The spelling of 378774272 in words is "three hundred seventy-eight million, seven hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 43 64 76 86 128 152 172 256 304 344 608 688 817 1216 1376 1634 1811 2432 2752 3268 3622 4864 5504 6536 7244 11008 13072 14488 26144 28976 34409 52288 57952 68818 77873 104576 115904 137636 155746 209152 231808 275272 311492 463616 550544 622984 1101088 1245968 1479587 2202176 2491936 2959174 4404352 4983872 5918348 8808704 9967744 11836696 19935488 23673392 47346784 94693568 189387136 378774272