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378273312 = 25321313449
BaseRepresentation
bin10110100010111…
…111111000100000
3222100210021102200
4112202333320200
51233314221222
6101311413200
712242161434
oct2642777040
9870707380
10378273312
1118458637a
12a6824200
13604a5281
143834a9c4
1523320eac
hex168bfe20

378273312 has 36 divisors (see below), whose sum is σ = 1075715550. Its totient is φ = 126091008.

The previous prime is 378273283. The next prime is 378273317. The reversal of 378273312 is 213372873.

378273312 is a `hidden beast` number, since 3 + 78 + 273 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 267518736 + 110754576 = 16356^2 + 10524^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (378273317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 656437 + ... + 657012.

Almost surely, 2378273312 is an apocalyptic number.

378273312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

378273312 is an abundant number, since it is smaller than the sum of its proper divisors (697442238).

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

378273312 is a wasteful number, since it uses less digits than its factorization.

378273312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313465 (or 1313454 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 378273312 is about 19449.2496513362. The cubic root of 378273312 is about 723.2169020314.

The spelling of 378273312 in words is "three hundred seventy-eight million, two hundred seventy-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1313449 2626898 3940347 5253796 7880694 10507592 11821041 15761388 21015184 23642082 31522776 42030368 47284164 63045552 94568328 126091104 189136656 378273312