Search a number
-
+
709400440 = 235721133203
BaseRepresentation
bin101010010010001…
…001011101111000
31211102212021110101
4222102021131320
52423101303230
6154220525144
723402542600
oct5222113570
91742767411
10709400440
11334490061
121796b07b4
13b3c81098
146a303c00
154242caca
hex2a489778

709400440 has 96 divisors (see below), whose sum is σ = 1873763280. Its totient is φ = 240995328.

The previous prime is 709400423. The next prime is 709400453. The reversal of 709400440 is 44004907.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 709400399 and 709400408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219879 + ... + 223081.

Almost surely, 2709400440 is an apocalyptic number.

709400440 is a gapful number since it is divisible by the number (70) 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 709400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936881640).

709400440 is an abundant number, since it is smaller than the sum of its proper divisors (1164362840).

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

709400440 is a wasteful number, since it uses less digits than its factorization.

709400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3341 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 709400440 is about 26634.5722698901. The cubic root of 709400440 is about 891.8609548193.

The spelling of 709400440 in words is "seven hundred nine million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 113 140 196 226 245 280 392 452 490 565 791 904 980 1130 1582 1960 2260 3164 3203 3955 4520 5537 6328 6406 7910 11074 12812 15820 16015 22148 22421 25624 27685 31640 32030 44296 44842 55370 64060 89684 110740 112105 128120 156947 179368 221480 224210 313894 361939 448420 627788 723878 784735 896840 1255576 1447756 1569470 1809695 2533573 2895512 3138940 3619390 5067146 6277880 7238780 10134292 12667865 14477560 17735011 20268584 25335730 35470022 50671460 70940044 88675055 101342920 141880088 177350110 354700220 709400440