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34244300010 = 235431092391019
BaseRepresentation
bin11111111001000111…
…101000110011101010
310021101112200200102210
4133321013220303222
51030113020100020
623422010105550
72321414514234
oct377107506352
9107345620383
1034244300010
1113583018498
12677841b2b6
1332c97b191b
14192bdd3254
15d565593e0
hex7f91e8cea

34244300010 has 128 divisors (see below), whose sum is σ = 85307904000. Its totient is φ = 8792001792.

The previous prime is 34244299997. The next prime is 34244300021. The reversal of 34244300010 is 1000344243.

It is a self number, because there is not a number n which added to its sum of digits gives 34244300010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33605281 + ... + 33606299.

It is an arithmetic number, because the mean of its divisors is an integer number (666468000).

Almost surely, 234244300010 is an apocalyptic number.

34244300010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34244300010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42653952000).

34244300010 is an abundant number, since it is smaller than the sum of its proper divisors (51063603990).

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

34244300010 is a wasteful number, since it uses less digits than its factorization.

34244300010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 34244300010 its reverse (1000344243), we get a palindrome (35244644253).

The spelling of 34244300010 in words is "thirty-four billion, two hundred forty-four million, three hundred thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 109 129 215 218 239 258 327 430 478 545 645 654 717 1019 1090 1195 1290 1434 1635 2038 2390 3057 3270 3585 4687 5095 6114 7170 9374 10190 10277 14061 15285 20554 23435 26051 28122 30570 30831 43817 46870 51385 52102 61662 70305 78153 87634 102770 111071 130255 131451 140610 154155 156306 219085 222142 243541 260510 262902 308310 333213 390765 438170 487082 555355 657255 666426 730623 781530 1110710 1120193 1217705 1314510 1461246 1666065 2240386 2435410 3332130 3360579 3653115 4776053 5600965 6721158 7306230 9552106 10472263 11201930 14328159 16802895 20944526 23880265 26545969 28656318 31416789 33605790 47760530 52361315 53091938 62833578 71640795 79637907 104722630 132729845 143281590 157083945 159275814 265459690 314167890 398189535 796379070 1141476667 2282953334 3424430001 5707383335 6848860002 11414766670 17122150005 34244300010