Search a number
-
+
34252412700 = 223521141253159
BaseRepresentation
bin11111111001100110…
…100101011100011100
310021102002221211221210
4133321212211130130
51030122104201300
623422500024420
72321543463342
oct377146453434
9107362854853
1034252412700
11135876596a0
12677b092110
1332cb39242c
14192d105992
15d5710d050
hex7f99a571c

34252412700 has 144 divisors (see below), whose sum is σ = 110750411520. Its totient is φ = 8101056000.

The previous prime is 34252412683. The next prime is 34252412801. The reversal of 34252412700 is 721425243.

It is a super-2 number, since 2×342524127002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8721 + ... + 261879.

It is an arithmetic number, because the mean of its divisors is an integer number (769100080).

Almost surely, 234252412700 is an apocalyptic number.

34252412700 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 34252412700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55375205760).

34252412700 is an abundant number, since it is smaller than the sum of its proper divisors (76497998820).

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

34252412700 is a wasteful number, since it uses less digits than its factorization.

34252412700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253228 (or 253221 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

Adding to 34252412700 its reverse (721425243), we get a palindrome (34973837943).

The spelling of 34252412700 in words is "thirty-four billion, two hundred fifty-two million, four hundred twelve thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 41 44 50 55 60 66 75 82 100 110 123 132 150 164 165 205 220 246 275 300 330 410 451 492 550 615 660 820 825 902 1025 1100 1230 1353 1650 1804 2050 2255 2460 2706 3075 3300 4100 4510 5412 6150 6765 9020 11275 12300 13530 22550 27060 33825 45100 67650 135300 253159 506318 759477 1012636 1265795 1518954 2531590 2784749 3037908 3797385 5063180 5569498 6328975 7594770 8354247 10379519 11138996 12657950 13923745 15189540 16708494 18986925 20759038 25315900 27847490 31138557 33416988 37973850 41518076 41771235 51897595 55694980 62277114 69618725 75947700 83542470 103795190 114174709 124554228 139237450 155692785 167084940 207590380 208856175 228349418 259487975 278474900 311385570 342524127 417712350 456698836 518975950 570873545 622771140 685048254 778463925 835424700 1037951900 1141747090 1370096508 1556927850 1712620635 2283494180 2854367725 3113855700 3425241270 5708735450 6850482540 8563103175 11417470900 17126206350 34252412700