Search a number
-
+
734808240 = 243351093121
BaseRepresentation
bin101011110011000…
…100100010110000
31220012200010102000
4223303010202300
53001102330430
6200525254000
724131524035
oct5363044260
91805603360
10734808240
11347864341
12186104300
13b9308a9a
146d83938c
154479ae60
hex2bcc48b0

734808240 has 160 divisors (see below), whose sum is σ = 2555044800. Its totient is φ = 194088960.

The previous prime is 734808233. The next prime is 734808247. The reversal of 734808240 is 42808437.

It is an interprime number because it is at equal distance from previous prime (734808233) and next prime (734808247).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 734808195 and 734808204.

It is not an unprimeable number, because it can be changed into a prime (734808247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233880 + ... + 237000.

It is an arithmetic number, because the mean of its divisors is an integer number (15969030).

Almost surely, 2734808240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 734808240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277522400).

734808240 is an abundant number, since it is smaller than the sum of its proper divisors (1820236560).

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

734808240 is a wasteful number, since it uses less digits than its factorization.

734808240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 734808240 is about 27107.3466056713. The cubic root of 734808240 is about 902.3839022140.

The spelling of 734808240 in words is "seven hundred thirty-four million, eight hundred eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 109 120 135 144 180 216 218 240 270 327 360 432 436 540 545 654 720 872 981 1080 1090 1308 1635 1744 1962 2160 2180 2616 2943 3121 3270 3924 4360 4905 5232 5886 6242 6540 7848 8720 9363 9810 11772 12484 13080 14715 15605 15696 18726 19620 23544 24968 26160 28089 29430 31210 37452 39240 46815 47088 49936 56178 58860 62420 74904 78480 84267 93630 112356 117720 124840 140445 149808 168534 187260 224712 235440 249680 280890 337068 340189 374520 421335 449424 561780 674136 680378 749040 842670 1020567 1123560 1348272 1360756 1685340 1700945 2041134 2247120 2721512 3061701 3370680 3401890 4082268 5102835 5443024 6123402 6741360 6803780 8164536 9185103 10205670 12246804 13607560 15308505 16329072 18370206 20411340 24493608 27215120 30617010 36740412 40822680 45925515 48987216 61234020 73480824 81645360 91851030 122468040 146961648 183702060 244936080 367404120 734808240