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34212802032 = 243554716087
BaseRepresentation
bin11111110111001111…
…011110110111110000
310021022100102102100000
4133313033132313300
51030031434131112
623414523030000
72320553006343
oct376717366760
9107270372300
1034212802032
1113567264602
12676996b300
1332c3103b76
141927b5445a
15d538d67dc
hex7f73dedf0

34212802032 has 120 divisors (see below), whose sum is σ = 99482271616. Its totient is φ = 11382710976.

The previous prime is 34212802031. The next prime is 34212802093. The reversal of 34212802032 is 23020821243.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34212801987 and 34212802005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34212802031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2118693 + ... + 2134779.

Almost surely, 234212802032 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 34212802032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49741135808).

34212802032 is an abundant number, since it is smaller than the sum of its proper divisors (65269469584).

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

34212802032 is a wasteful number, since it uses less digits than its factorization.

34212802032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16657 (or 16639 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 34212802032 in words is "thirty-four billion, two hundred twelve million, eight hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 547 648 972 1094 1296 1641 1944 2188 3282 3888 4376 4923 6564 8752 9846 13128 14769 16087 19692 26256 29538 32174 39384 44307 48261 59076 64348 78768 88614 96522 118152 128696 132921 144783 177228 193044 236304 257392 265842 289566 354456 386088 434349 531684 579132 708912 772176 868698 1063368 1158264 1303047 1737396 2126736 2316528 2606094 3474792 3909141 5212188 6949584 7818282 8799589 10424376 15636564 17599178 20848752 26398767 31273128 35198356 52797534 62546256 70396712 79196301 105595068 140793424 158392602 211190136 237588903 316785204 422380272 475177806 633570408 712766709 950355612 1267140816 1425533418 1900711224 2138300127 2851066836 3801422448 4276600254 5702133672 8553200508 11404267344 17106401016 34212802032