Search a number
-
+
378625740 = 2235291671303
BaseRepresentation
bin10110100100010…
…101111011001100
3222101110011212120
4112210111323030
51233412010430
6101323132540
712245160063
oct2644257314
9871404776
10378625740
111847a7139
12a6974150
13605997cc
14383dd1da
1523390610
hex16915ecc

378625740 has 96 divisors (see below), whose sum is σ = 1104122880. Its totient is φ = 96827136.

The previous prime is 378625739. The next prime is 378625781. The reversal of 378625740 is 47526873.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 378625692 and 378625701.

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, 289929 + ... + 291231.

It is an arithmetic number, because the mean of its divisors is an integer number (11501280).

Almost surely, 2378625740 is an apocalyptic number.

378625740 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 378625740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552061440).

378625740 is an abundant number, since it is smaller than the sum of its proper divisors (725497140).

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

378625740 is a wasteful number, since it uses less digits than its factorization.

378625740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 378625740 is about 19458.3077373136. The cubic root of 378625740 is about 723.4414334866.

The spelling of 378625740 in words is "three hundred seventy-eight million, six hundred twenty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 167 174 290 334 348 435 501 580 668 835 870 1002 1303 1670 1740 2004 2505 2606 3340 3909 4843 5010 5212 6515 7818 9686 10020 13030 14529 15636 19372 19545 24215 26060 29058 37787 39090 48430 58116 72645 75574 78180 96860 113361 145290 151148 188935 217601 226722 290580 377870 435202 453444 566805 652803 755740 870404 1088005 1133610 1305606 2176010 2267220 2611212 3264015 4352020 6310429 6528030 12620858 13056060 18931287 25241716 31552145 37862574 63104290 75725148 94656435 126208580 189312870 378625740