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378345216 = 2832321419
BaseRepresentation
bin10110100011010…
…001011100000000
3222100220221001210
4112203101130000
51233324021331
6101313130120
712242611164
oct2643213400
9870827053
10378345216
111846253a7
12a6859940
13604cbc12
1438368ca4
1523337446
hex168d1700

378345216 has 72 divisors (see below), whose sum is σ = 1050779520. Its totient is φ = 120626176.

The previous prime is 378345211. The next prime is 378345221. The reversal of 378345216 is 612543873.

It is an interprime number because it is at equal distance from previous prime (378345211) and next prime (378345221).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378345211) 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, 6955 + ... + 28373.

It is an arithmetic number, because the mean of its divisors is an integer number (14594160).

Almost surely, 2378345216 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 378345216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525389760).

378345216 is an abundant number, since it is smaller than the sum of its proper divisors (672434304).

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

378345216 is a wasteful number, since it uses less digits than its factorization.

378345216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21461 (or 21447 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 378345216 is about 19451.0980666902. The cubic root of 378345216 is about 723.2627233039.

The spelling of 378345216 in words is "three hundred seventy-eight million, three hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 552 736 768 1104 1472 2208 2944 4416 5888 8832 17664 21419 42838 64257 85676 128514 171352 257028 342704 492637 514056 685408 985274 1028112 1370816 1477911 1970548 2056224 2741632 2955822 3941096 4112448 5483264 5911644 7882192 8224896 11823288 15764384 16449792 23646576 31528768 47293152 63057536 94586304 126115072 189172608 378345216