Search a number
-
+
378095904 = 25334310177
BaseRepresentation
bin10110100010010…
…100100100100000
3222100110021002000
4112202110210200
51233243032104
6101303524000
712240522264
oct2642244440
9870407060
10378095904
1118447505a
12a6759600
13604425b4
14383020a4
15232d8639
hex16894920

378095904 has 96 divisors (see below), whose sum is σ = 1128536640. Its totient is φ = 123088896.

The previous prime is 378095903. The next prime is 378095911. The reversal of 378095904 is 409590873.

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

It is a self number, because there is not a number n which added to its sum of digits gives 378095904.

It is not an unprimeable number, because it can be changed into a prime (378095903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32064 + ... + 42240.

It is an arithmetic number, because the mean of its divisors is an integer number (11755590).

Almost surely, 2378095904 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 378095904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564268320).

378095904 is an abundant number, since it is smaller than the sum of its proper divisors (750440736).

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

378095904 is a wasteful number, since it uses less digits than its factorization.

378095904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10239 (or 10225 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 378095904 is about 19444.6883235500. The cubic root of 378095904 is about 723.1038228342.

The spelling of 378095904 in words is "three hundred seventy-eight million, ninety-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 86 96 108 129 144 172 216 258 288 344 387 432 516 688 774 864 1032 1161 1376 1548 2064 2322 3096 4128 4644 6192 9288 10177 12384 18576 20354 30531 37152 40708 61062 81416 91593 122124 162832 183186 244248 274779 325664 366372 437611 488496 549558 732744 875222 976992 1099116 1312833 1465488 1750444 2198232 2625666 2930976 3500888 3938499 4396464 5251332 7001776 7876998 8792928 10502664 11815497 14003552 15753996 21005328 23630994 31507992 42010656 47261988 63015984 94523976 126031968 189047952 378095904