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34246163040 = 2535607117539
BaseRepresentation
bin11111111001001110…
…101111101001100000
310021101200012100000220
4133321032233221200
51030114004204130
623422114043040
72321436403635
oct377116575140
9107350170026
1034246163040
1113584080191
126778b79480
1332c9cb48cb
14192c35a18c
15d567c6410
hex7f93afa60

34246163040 has 96 divisors (see below), whose sum is σ = 108054051840. Its totient is φ = 9117187584.

The previous prime is 34246163023. The next prime is 34246163051. The reversal of 34246163040 is 4036164243.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 34246162992 and 34246163010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232591 + ... + 350129.

It is an arithmetic number, because the mean of its divisors is an integer number (1125563040).

Almost surely, 234246163040 is an apocalyptic number.

34246163040 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 34246163040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54027025920).

34246163040 is an abundant number, since it is smaller than the sum of its proper divisors (73807888800).

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

34246163040 is a wasteful number, since it uses less digits than its factorization.

34246163040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118164 (or 118156 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 34246163040 in words is "thirty-four billion, two hundred forty-six million, one hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 607 1214 1821 2428 3035 3642 4856 6070 7284 9105 9712 12140 14568 18210 19424 24280 29136 36420 48560 58272 72840 97120 117539 145680 235078 291360 352617 470156 587695 705234 940312 1175390 1410468 1763085 1880624 2350780 2820936 3526170 3761248 4701560 5641872 7052340 9403120 11283744 14104680 18806240 28209360 56418720 71346173 142692346 214038519 285384692 356730865 428077038 570769384 713461730 856154076 1070192595 1141538768 1426923460 1712308152 2140385190 2283077536 2853846920 3424616304 4280770380 5707693840 6849232608 8561540760 11415387680 17123081520 34246163040