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378382480 = 2457821823
BaseRepresentation
bin10110100011011…
…010100010010000
3222100222211011221
4112203122202100
51233331214410
6101314014424
712243124630
oct2643324220
9870884157
10378382480
111846503a3
12a6877414
1360512b78
14383786c0
15233434da
hex168da890

378382480 has 80 divisors (see below), whose sum is σ = 1007864064. Its totient is φ = 129415680.

The previous prime is 378382471. The next prime is 378382489. The reversal of 378382480 is 84283873.

It is an interprime number because it is at equal distance from previous prime (378382471) and next prime (378382489).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (378382489) 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, 459349 + ... + 460171.

Almost surely, 2378382480 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 378382480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503932032).

378382480 is an abundant number, since it is smaller than the sum of its proper divisors (629481584).

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

378382480 is a wasteful number, since it uses less digits than its factorization.

378382480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 378382480 is about 19452.0559324715. The cubic root of 378382480 is about 723.2864677364.

The spelling of 378382480 in words is "three hundred seventy-eight million, three hundred eighty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 821 823 1642 1646 3284 3292 4105 4115 5747 5761 6568 6584 8210 8230 11494 11522 13136 13168 16420 16460 22988 23044 28735 28805 32840 32920 45976 46088 57470 57610 65680 65840 91952 92176 114940 115220 229880 230440 459760 460880 675683 1351366 2702732 3378415 4729781 5405464 6756830 9459562 10810928 13513660 18919124 23648905 27027320 37838248 47297810 54054640 75676496 94595620 189191240 378382480