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34442503340 = 22574712774099
BaseRepresentation
bin100000000100111011…
…101110010010101100
310021220100122110021212
4200010323232102230
51031014240101330
623453410213552
72326342306430
oct400473562254
9107810573255
1034442503340
11136749935a3
1268128842b8
13332b88a1bb
14194a4689c0
15d68b5b295
hex804eee4ac

34442503340 has 96 divisors (see below), whose sum is σ = 84507494400. Its totient is φ = 11545737984.

The previous prime is 34442503331. The next prime is 34442503357. The reversal of 34442503340 is 4330524443.

It is a super-2 number, since 2×344425033402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34442503297 and 34442503306.

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, 8400611 + ... + 8404709.

It is an arithmetic number, because the mean of its divisors is an integer number (880286400).

Almost surely, 234442503340 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 34442503340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42253747200).

34442503340 is an abundant number, since it is smaller than the sum of its proper divisors (50064991060).

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

34442503340 is a wasteful number, since it uses less digits than its factorization.

34442503340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5439 (or 5437 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 32.

The spelling of 34442503340 in words is "thirty-four billion, four hundred forty-two million, five hundred three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1277 1316 1645 2554 3290 4099 5108 6385 6580 8198 8939 12770 16396 17878 20495 25540 28693 35756 40990 44695 57386 60019 81980 89390 114772 120038 143465 178780 192653 240076 286930 300095 385306 420133 573860 600190 770612 840266 963265 1200380 1348571 1680532 1926530 2100665 2697142 3853060 4201330 5234423 5394284 6742855 8402660 10468846 13485710 20937692 26172115 26971420 36640961 52344230 73281922 104688460 146563844 183204805 246017881 366409610 492035762 732819220 984071524 1230089405 1722125167 2460178810 3444250334 4920357620 6888500668 8610625835 17221251670 34442503340