Search a number
-
+
390834780 = 2235742713
BaseRepresentation
bin10111010010111…
…010101001011100
31000020102110112020
4113102322221130
51300023203110
6102440540140
712454020000
oct2722725134
91006373466
10390834780
11190685a56
12aaa81650
1362c829ab
1439c9a700
15244a2d70
hex174baa5c

390834780 has 120 divisors (see below), whose sum is σ = 1277121552. Its totient is φ = 89300736.

The previous prime is 390834767. The next prime is 390834797. The reversal of 390834780 is 87438093.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142704 + ... + 145416.

Almost surely, 2390834780 is an apocalyptic number.

390834780 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 390834780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638560776).

390834780 is an abundant number, since it is smaller than the sum of its proper divisors (886286772).

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

390834780 is a wasteful number, since it uses less digits than its factorization.

390834780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 390834780 is about 19769.5417245823. The cubic root of 390834780 is about 731.1352698957.

The spelling of 390834780 in words is "three hundred ninety million, eight hundred thirty-four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 343 420 490 588 686 735 980 1029 1372 1470 1715 2058 2401 2713 2940 3430 4116 4802 5145 5426 6860 7203 8139 9604 10290 10852 12005 13565 14406 16278 18991 20580 24010 27130 28812 32556 36015 37982 40695 48020 54260 56973 72030 75964 81390 94955 113946 132937 144060 162780 189910 227892 265874 284865 379820 398811 531748 569730 664685 797622 930559 1139460 1329370 1595244 1861118 1994055 2658740 2791677 3722236 3988110 4652795 5583354 6513913 7976220 9305590 11166708 13027826 13958385 18611180 19541739 26055652 27916770 32569565 39083478 55833540 65139130 78166956 97708695 130278260 195417390 390834780