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378906780 = 223572713329
BaseRepresentation
bin10110100101011…
…010100010011100
3222101222110101110
4112211122202130
51234000004110
6101333142020
712250440330
oct2645324234
9871873343
10378906780
111849792aa
12a6a8a910
13606676c5
14384737c0
15233e8a20
hex1695a89c

378906780 has 96 divisors (see below), whose sum is σ = 1217341440. Its totient is φ = 86261760.

The previous prime is 378906767. The next prime is 378906817. The reversal of 378906780 is 87609873.

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, 112156 + ... + 115484.

It is an arithmetic number, because the mean of its divisors is an integer number (12680640).

Almost surely, 2378906780 is an apocalyptic number.

378906780 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 378906780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608670720).

378906780 is an abundant number, since it is smaller than the sum of its proper divisors (838434660).

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

378906780 is a wasteful number, since it uses less digits than its factorization.

378906780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3619 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 378906780 is about 19465.5279918116. The cubic root of 378906780 is about 723.6203838986.

The spelling of 378906780 in words is "three hundred seventy-eight million, nine hundred six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 271 420 542 813 1084 1355 1626 1897 2710 3252 3329 3794 4065 5420 5691 6658 7588 8130 9485 9987 11382 13316 16260 16645 18970 19974 22764 23303 28455 33290 37940 39948 46606 49935 56910 66580 69909 93212 99870 113820 116515 139818 199740 233030 279636 349545 466060 699090 902159 1398180 1804318 2706477 3608636 4510795 5412954 6315113 9021590 10825908 12630226 13532385 18043180 18945339 25260452 27064770 31575565 37890678 54129540 63151130 75781356 94726695 126302260 189453390 378906780