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378543840 = 25351941507
BaseRepresentation
bin10110100100000…
…001111011100000
3222101022000112020
4112210001323200
51233401400330
6101321301440
712244366233
oct2644017340
9871260466
10378543840
11184750654
12a6934880
136056b44c
14383bb41a
1523376210
hex16901ee0

378543840 has 96 divisors (see below), whose sum is σ = 1255201920. Its totient is φ = 95629824.

The previous prime is 378543839. The next prime is 378543853. The reversal of 378543840 is 48345873.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 378543792 and 378543801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11634 + ... + 29873.

It is an arithmetic number, because the mean of its divisors is an integer number (13075020).

Almost surely, 2378543840 is an apocalyptic number.

378543840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378543840 is an abundant number, since it is smaller than the sum of its proper divisors (876658080).

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

378543840 is a wasteful number, since it uses less digits than its factorization.

378543840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41544 (or 41536 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 378543840 is about 19456.2031239397. The cubic root of 378543840 is about 723.3892675262.

The spelling of 378543840 in words is "three hundred seventy-eight million, five hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 41507 83014 124521 166028 207535 249042 332056 415070 498084 622605 664112 788633 830140 996168 1245210 1328224 1577266 1660280 1992336 2365899 2490420 3154532 3320560 3943165 3984672 4731798 4980840 6309064 6641120 7886330 9463596 9961680 11829495 12618128 15772660 18927192 19923360 23658990 25236256 31545320 37854384 47317980 63090640 75708768 94635960 126181280 189271920 378543840