Search a number
-
+
31034244320 = 255193727457
BaseRepresentation
bin11100111001110010…
…001111110011100000
32222002211101221212022
4130321302033303200
51002024231304240
622131255321012
72146025503262
oct347162176340
988084357768
1031034244320
1112186027102
126021380168
132c077320a1
14170594bb32
15c198219b5
hex739c8fce0

31034244320 has 144 divisors (see below), whose sum is σ = 79330149360. Its totient is φ = 11440963584.

The previous prime is 31034244313. The next prime is 31034244407. The reversal of 31034244320 is 2344243013.

It is a self number, because there is not a number n which added to its sum of digits gives 31034244320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4158032 + ... + 4165488.

It is an arithmetic number, because the mean of its divisors is an integer number (550903815).

Almost surely, 231034244320 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 31034244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39665074680).

31034244320 is an abundant number, since it is smaller than the sum of its proper divisors (48295905040).

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

31034244320 is a wasteful number, since it uses less digits than its factorization.

31034244320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7565 (or 7520 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 31034244320 its reverse (2344243013), we get a palindrome (33378487333).

The spelling of 31034244320 in words is "thirty-one billion, thirty-four million, two hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 37 38 40 74 76 80 95 148 152 160 185 190 296 304 370 380 592 608 703 740 760 1184 1369 1406 1480 1520 2738 2812 2960 3040 3515 5476 5624 5920 6845 7030 7457 10952 11248 13690 14060 14914 21904 22496 26011 27380 28120 29828 37285 43808 52022 54760 56240 59656 74570 104044 109520 112480 119312 130055 141683 149140 208088 219040 238624 260110 275909 283366 298280 416176 520220 551818 566732 596560 708415 832352 1040440 1103636 1133464 1193120 1379545 1416830 2080880 2207272 2266928 2759090 2833660 4161760 4414544 4533856 5242271 5518180 5667320 8829088 10208633 10484542 11036360 11334640 20417266 20969084 22072720 22669280 26211355 40834532 41938168 44145440 51043165 52422710 81669064 83876336 102086330 104845420 163338128 167752672 193964027 204172660 209690840 326676256 387928054 408345320 419381680 775856108 816690640 838763360 969820135 1551712216 1633381280 1939640270 3103424432 3879280540 6206848864 7758561080 15517122160 31034244320