Search a number
-
+
380352623728 = 247111481208459
BaseRepresentation
bin1011000100011101100…
…10000111010001110000
31100100202102120020120011
411202032302013101300
522212430232424403
6450422004424304
736323330646430
oct5421662072160
91310672506504
10380352623728
1113734115a850
126186b3a8094
1329b37027bcc
14145a2a6c2c0
159d61ad3a6d
hex588ec87470

380352623728 has 80 divisors (see below), whose sum is σ = 919398654720. Its totient is φ = 148088563200.

The previous prime is 380352623711. The next prime is 380352623741. The reversal of 380352623728 is 827326253083.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1720363 + ... + 1928821.

It is an arithmetic number, because the mean of its divisors is an integer number (11492483184).

Almost surely, 2380352623728 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 380352623728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459699327360).

380352623728 is an abundant number, since it is smaller than the sum of its proper divisors (539046030992).

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

380352623728 is a wasteful number, since it uses less digits than its factorization.

380352623728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209966 (or 209960 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 49.

The spelling of 380352623728 in words is "three hundred eighty billion, three hundred fifty-two million, six hundred twenty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 1481 2962 5924 10367 11848 16291 20734 23696 32582 41468 65164 82936 114037 130328 165872 208459 228074 260656 416918 456148 833836 912296 1459213 1667672 1824592 2293049 2918426 3335344 4586098 5836852 9172196 11673704 16051343 18344392 23347408 32102686 36688784 64205372 128410744 256821488 308727779 617455558 1234911116 2161094453 2469822232 3396005569 4322188906 4939644464 6792011138 8644377812 13584022276 17288755624 23772038983 27168044552 34577511248 47544077966 54336089104 95088155932 190176311864 380352623728