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380231323640 = 235723383154157
BaseRepresentation
bin1011000100001111000…
…11011000111111111000
31100100102222022120010022
411202013203120333320
522212203204324030
6450401552510012
736320325632030
oct5420743307770
91310388276108
10380231323640
11137289740243
126183684b308
1329b17b672cc
14145908d48c0
159d56122de5
hex58878d8ff8

380231323640 has 128 divisors (see below), whose sum is σ = 1022918492160. Its totient is φ = 124370594304.

The previous prime is 380231323621. The next prime is 380231323673. The reversal of 380231323640 is 46323132083.

It is a Cunningham number, because it is equal to 6166292-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 380231323640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2389442 + ... + 2543598.

It is an arithmetic number, because the mean of its divisors is an integer number (7991550720).

Almost surely, 2380231323640 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 380231323640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511459246080).

380231323640 is an abundant number, since it is smaller than the sum of its proper divisors (642687168520).

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

380231323640 is a wasteful number, since it uses less digits than its factorization.

380231323640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154581 (or 154577 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The spelling of 380231323640 in words is "three hundred eighty billion, two hundred thirty-one million, three hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 383 460 644 766 805 920 1288 1532 1610 1915 2681 3064 3220 3830 5362 6440 7660 8809 10724 13405 15320 17618 21448 26810 35236 44045 53620 61663 70472 88090 107240 123326 154157 176180 246652 308314 308315 352360 493304 616628 616630 770785 1079099 1233256 1233260 1541570 2158198 2466520 3083140 3545611 4316396 5395495 6166280 7091222 8632792 10790990 14182444 17728055 21581980 24819277 28364888 35456110 43163960 49638554 59042131 70912220 99277108 118084262 124096385 141824440 198554216 236168524 248192770 295210655 413294917 472337048 496385540 590421310 826589834 992771080 1180842620 1357969013 1653179668 2066474585 2361685240 2715938026 3306359336 4132949170 5431876052 6789845065 8265898340 9505783091 10863752104 13579690130 16531796680 19011566182 27159380260 38023132364 47528915455 54318760520 76046264728 95057830910 190115661820 380231323640