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380345311740 = 223537452337879
BaseRepresentation
bin1011000100011100101…
…10001110000111111100
31100100201220210202101210
411202032112032013330
522212421344433430
6450421144004420
736323211543612
oct5421626160774
91310656722353
10380345311740
11137338016189
1261868a60710
1329b356679a4
14145a1ac76b2
159d6113c2b0
hex588e58e1fc

380345311740 has 96 divisors (see below), whose sum is σ = 1094020462080. Its totient is φ = 98659766016.

The previous prime is 380345311739. The next prime is 380345311741. The reversal of 380345311740 is 47113543083.

380345311740 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (380345311739) and next prime (380345311741).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380345311741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10022121 + ... + 10059999.

It is an arithmetic number, because the mean of its divisors is an integer number (11396046480).

Almost surely, 2380345311740 is an apocalyptic number.

380345311740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380345311740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547010231040).

380345311740 is an abundant number, since it is smaller than the sum of its proper divisors (713675150340).

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

380345311740 is a wasteful number, since it uses less digits than its factorization.

380345311740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42451 (or 42449 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 380345311740 in words is "three hundred eighty billion, three hundred forty-five million, three hundred eleven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 4523 9046 13569 18092 22615 27138 37879 45230 54276 67845 75758 90460 113637 135690 151516 167351 189395 227274 271380 334702 378790 454548 502053 568185 669404 757580 836755 1004106 1136370 1401523 1673510 2008212 2272740 2510265 2803046 3347020 4204569 5020530 5606092 7007615 8409138 10041060 14015230 16818276 21022845 28030460 42045690 84091380 171326717 342653434 513980151 685306868 856633585 1027960302 1713267170 2055920604 2569900755 3426534340 5139801510 6339088529 10279603020 12678177058 19017265587 25356354116 31695442645 38034531174 63390885290 76069062348 95086327935 126781770580 190172655870 380345311740