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378535936 = 220192
BaseRepresentation
bin10110100100000…
…000000000000000
3222101021121200111
4112210000000000
51233401122221
6101321201104
712244334212
oct2644000000
9871247614
10378535936
11184745719
12a6930194
136056797c
14383b85b2
1523373be1
hex16900000

378535936 has 63 divisors (see below), whose sum is σ = 799014531. Its totient is φ = 179306496.

The previous prime is 378535931. The next prime is 378535939. The reversal of 378535936 is 639535873.

The square root of 378535936 is 19456.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (2041200) is a multiple of the sum of its prime divisors (21).

It is a self number, because there is not a number n which added to its sum of digits gives 378535936.

It is not an unprimeable number, because it can be changed into a prime (378535931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 19922935 + ... + 19922953.

Almost surely, 2378535936 is an apocalyptic number.

378535936 is the 19456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378535936

378535936 is an abundant number, since it is smaller than the sum of its proper divisors (420478595).

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

378535936 is an frugal number, since it uses more digits than its factorization.

378535936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 21 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 49.

The cubic root of 378535936 is about 723.3842326989.

Multiplying 378535936 by its sum of digits (49), we get a square (18548260864 = 1361922).

The spelling of 378535936 in words is "three hundred seventy-eight million, five hundred thirty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 512 608 722 1024 1216 1444 2048 2432 2888 4096 4864 5776 8192 9728 11552 16384 19456 23104 32768 38912 46208 65536 77824 92416 131072 155648 184832 262144 311296 369664 524288 622592 739328 1048576 1245184 1478656 2490368 2957312 4980736 5914624 9961472 11829248 19922944 23658496 47316992 94633984 189267968 378535936