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378005376 = 2737140627
BaseRepresentation
bin10110100001111…
…110011110000000
3222100021122220010
4112201332132000
51233232133001
6101301544520
712236664330
oct2641763600
9870248803
10378005376
11184413041
12a6715140
1360410328
14382bb0c0
15232bb8d6
hex1687e780

378005376 has 64 divisors (see below), whose sum is σ = 1147524480. Its totient is φ = 108000768.

The previous prime is 378005371. The next prime is 378005447. The reversal of 378005376 is 673500873.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378005371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67626 + ... + 73001.

It is an arithmetic number, because the mean of its divisors is an integer number (17930070).

Almost surely, 2378005376 is an apocalyptic number.

It is an amenable number.

378005376 is an abundant number, since it is smaller than the sum of its proper divisors (769519104).

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

378005376 is a wasteful number, since it uses less digits than its factorization.

378005376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140651 (or 140639 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 378005376 is about 19442.3603505336. The cubic root of 378005376 is about 723.0461069942.

The spelling of 378005376 in words is "three hundred seventy-eight million, five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 140627 281254 421881 562508 843762 984389 1125016 1687524 1968778 2250032 2953167 3375048 3937556 4500064 5906334 6750096 7875112 9000128 11812668 13500192 15750224 18000256 23625336 27000384 31500448 47250672 54000768 63000896 94501344 126001792 189002688 378005376