Search a number
-
+
31203434400 = 2535231419401
BaseRepresentation
bin11101000011110111…
…101001111110100000
32222112121202201000120
4131003313221332200
51002401034400100
622200141520240
72153151546645
oct350367517640
988477681016
1031203434400
1112262586116
126069b73080
132c337bc868
1417201cddcc
15c295e20a0
hex743de9fa0

31203434400 has 144 divisors (see below), whose sum is σ = 104843789568. Its totient is φ = 8052480000.

The previous prime is 31203434389. The next prime is 31203434461. The reversal of 31203434400 is 443430213.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 135301 + ... + 284100.

It is an arithmetic number, because the mean of its divisors is an integer number (728081872).

Almost surely, 231203434400 is an apocalyptic number.

31203434400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31203434400 is an abundant number, since it is smaller than the sum of its proper divisors (73640355168).

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

31203434400 is a wasteful number, since it uses less digits than its factorization.

31203434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419455 (or 419442 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 31203434400 its reverse (443430213), we get a palindrome (31646864613).

The spelling of 31203434400 in words is "thirty-one billion, two hundred three million, four hundred thirty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 62 75 80 93 96 100 120 124 150 155 160 186 200 240 248 300 310 372 400 465 480 496 600 620 744 775 800 930 992 1200 1240 1488 1550 1860 2325 2400 2480 2976 3100 3720 4650 4960 6200 7440 9300 12400 14880 18600 24800 37200 74400 419401 838802 1258203 1677604 2097005 2516406 3355208 4194010 5032812 6291015 6710416 8388020 10065624 10485025 12582030 13001431 13420832 16776040 20131248 20970050 25164060 26002862 31455075 33552080 39004293 40262496 41940100 50328120 52005724 62910150 65007155 67104160 78008586 83880200 100656240 104011448 125820300 130014310 156017172 167760400 195021465 201312480 208022896 251640600 260028620 312034344 325035775 335520800 390042930 416045792 503281200 520057240 624068688 650071550 780085860 975107325 1006562400 1040114480 1248137376 1300143100 1560171720 1950214650 2080228960 2600286200 3120343440 3900429300 5200572400 6240686880 7800858600 10401144800 15601717200 31203434400