Search a number
-
+
378897664 = 286412309
BaseRepresentation
bin10110100101011…
…000010100000000
3222101221222212211
4112211120110000
51233444211124
6101333031504
712250401625
oct2645302400
9871858784
10378897664
11184972472
12a6a85594
1360663502
143847034c
15233e5e94
hex16958500

378897664 has 36 divisors (see below), whose sum is σ = 757823220. Its totient is φ = 189071360.

The previous prime is 378897641. The next prime is 378897709. The reversal of 378897664 is 466798873.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 329785600 + 49112064 = 18160^2 + 7008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 378897599 and 378897608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 162942 + ... + 165250.

It is an arithmetic number, because the mean of its divisors is an integer number (21050645).

Almost surely, 2378897664 is an apocalyptic number.

It is an amenable number.

378897664 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

378897664 is an equidigital number, since it uses as much as digits as its factorization.

378897664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966 (or 2952 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 58.

The square root of 378897664 is about 19465.2938328709. The cubic root of 378897664 is about 723.6145807330.

The spelling of 378897664 in words is "three hundred seventy-eight million, eight hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 641 1282 2309 2564 4618 5128 9236 10256 18472 20512 36944 41024 73888 82048 147776 164096 295552 591104 1480069 2960138 5920276 11840552 23681104 47362208 94724416 189448832 378897664