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34710480640 = 285114357331
BaseRepresentation
bin100000010100111001…
…111110011100000000
310022121000220010001001
4200110321332130000
51032041340340030
623540142021344
72336105134363
oct402471763400
9108530803031
1034710480640
11137a2185940
126888577854
133372255454
141973ca40da
15d82441cca
hex814e7e700

34710480640 has 144 divisors (see below), whose sum is σ = 92811793536. Its totient is φ = 12328243200.

The previous prime is 34710480611. The next prime is 34710480647. The reversal of 34710480640 is 4608401743.

It is a self number, because there is not a number n which added to its sum of digits gives 34710480640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34710480647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576775 + ... + 634105.

It is an arithmetic number, because the mean of its divisors is an integer number (644526344).

Almost surely, 234710480640 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 34710480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46405896768).

34710480640 is an abundant number, since it is smaller than the sum of its proper divisors (58101312896).

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

34710480640 is a wasteful number, since it uses less digits than its factorization.

34710480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57406 (or 57392 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 34710480640 in words is "thirty-four billion, seven hundred ten million, four hundred eighty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 64 80 86 88 110 128 160 172 176 215 220 256 320 344 352 430 440 473 640 688 704 860 880 946 1280 1376 1408 1720 1760 1892 2365 2752 2816 3440 3520 3784 4730 5504 6880 7040 7568 9460 11008 13760 14080 15136 18920 27520 30272 37840 55040 57331 60544 75680 114662 121088 151360 229324 286655 302720 458648 573310 605440 630641 917296 1146620 1261282 1834592 2293240 2465233 2522564 3153205 3669184 4586480 4930466 5045128 6306410 7338368 9172960 9860932 10090256 12326165 12612820 14676736 18345920 19721864 20180512 24652330 25225640 27117563 36691840 39443728 40361024 49304660 50451280 54235126 73383680 78887456 80722048 98609320 100902560 108470252 135587815 157774912 161444096 197218640 201805120 216940504 271175630 315549824 394437280 403610240 433881008 542351260 631099648 788874560 807220480 867762016 1084702520 1577749120 1735524032 2169405040 3155498240 3471048064 4338810080 6942096128 8677620160 17355240320 34710480640