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34013066232 = 233591011032309
BaseRepresentation
bin11111101011010101…
…100011001111111000
310020210102120210022210
4133223111203033320
51024124321104412
623343030015120
72312606202255
oct375325431770
9106712523283
1034013066232
11134745420a2
126712aa74a0
13329090cbc2
14190940042c
15d410d083c
hex7eb5633f8

34013066232 has 128 divisors (see below), whose sum is σ = 88216128000. Its totient is φ = 10923302400.

The previous prime is 34013066207. The next prime is 34013066249. The reversal of 34013066232 is 23266031043.

It is a self number, because there is not a number n which added to its sum of digits gives 34013066232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14729494 + ... + 14731802.

It is an arithmetic number, because the mean of its divisors is an integer number (689188500).

Almost surely, 234013066232 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 34013066232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44108064000).

34013066232 is an abundant number, since it is smaller than the sum of its proper divisors (54203061768).

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

34013066232 is a wasteful number, since it uses less digits than its factorization.

34013066232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 34013066232 its reverse (23266031043), we get a palindrome (57279097275).

The spelling of 34013066232 in words is "thirty-four billion, thirteen million, sixty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 59 101 103 118 177 202 206 236 303 309 354 404 412 472 606 618 708 808 824 1212 1236 1416 2309 2424 2472 4618 5959 6077 6927 9236 10403 11918 12154 13854 17877 18231 18472 20806 23836 24308 27708 31209 35754 36462 41612 47672 48616 55416 62418 71508 72924 83224 124836 136231 143016 145848 233209 237827 249672 272462 408693 466418 475654 544924 613777 699627 713481 817386 932836 951308 1089848 1227554 1399254 1426962 1634772 1841331 1865672 1902616 2455108 2798508 2853924 3269544 3682662 4910216 5597016 5707848 7365324 13759331 14031793 14730648 24020527 27518662 28063586 41277993 42095379 48041054 55037324 56127172 72061581 82555986 84190758 96082108 110074648 112254344 144123162 165111972 168381516 192164216 288246324 330223944 336763032 576492648 1417211093 2834422186 4251633279 5668844372 8503266558 11337688744 17006533116 34013066232