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378925740 = 22325191011097
BaseRepresentation
bin10110100101011…
…111001010101100
3222102000102101200
4112211133022230
51234001110430
6101333405500
712250546524
oct2645371254
9872012350
10378925740
11184991576
12a6a99890
136067321b
143847a684
15233ee460
hex1695f2ac

378925740 has 144 divisors (see below), whose sum is σ = 1222996320. Its totient is φ = 94694400.

The previous prime is 378925739. The next prime is 378925783. The reversal of 378925740 is 47529873.

378925740 is a `hidden beast` number, since 3 + 78 + 9 + 2 + 574 + 0 = 666.

It is a super-3 number, since 3×3789257403 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344872 + ... + 345968.

It is an arithmetic number, because the mean of its divisors is an integer number (8493030).

Almost surely, 2378925740 is an apocalyptic number.

378925740 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 378925740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611498160).

378925740 is an abundant number, since it is smaller than the sum of its proper divisors (844070580).

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

378925740 is a wasteful number, since it uses less digits than its factorization.

378925740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 378925740 is about 19466.0150005079. The cubic root of 378925740 is about 723.6324533700.

The spelling of 378925740 in words is "three hundred seventy-eight million, nine hundred twenty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 101 114 171 180 190 202 228 285 303 342 380 404 505 570 606 684 855 909 1010 1097 1140 1212 1515 1710 1818 1919 2020 2194 3030 3291 3420 3636 3838 4388 4545 5485 5757 6060 6582 7676 9090 9595 9873 10970 11514 13164 16455 17271 18180 19190 19746 20843 21940 23028 28785 32910 34542 38380 39492 41686 49365 57570 62529 65820 69084 83372 86355 98730 104215 110797 115140 125058 172710 187587 197460 208430 221594 250116 312645 332391 345420 375174 416860 443188 553985 625290 664782 750348 937935 997173 1107970 1250580 1329564 1661955 1875870 1994346 2105143 2215940 3323910 3751740 3988692 4210286 4985865 6315429 6647820 8420572 9971730 10525715 12630858 18946287 19943460 21051430 25261716 31577145 37892574 42102860 63154290 75785148 94731435 126308580 189462870 378925740