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34698114072 = 23337115714411
BaseRepresentation
bin100000010100001010…
…110011010000011000
310022120011121211022000
4200110022303100120
51032030204122242
623535021001000
72335565050266
oct402412632030
9108504554260
1034698114072
11137961a9736
1268843b3160
13336c81565b
1419723a5436
15d812eca4c
hex8142b3418

34698114072 has 128 divisors (see below), whose sum is σ = 98370547200. Its totient is φ = 11329718400.

The previous prime is 34698114071. The next prime is 34698114083. The reversal of 34698114072 is 27041189643.

34698114072 is a `hidden beast` number, since 3 + 469 + 8 + 114 + 0 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34698114071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2400547 + ... + 2414957.

It is an arithmetic number, because the mean of its divisors is an integer number (768519900).

Almost surely, 234698114072 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 34698114072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49185273600).

34698114072 is an abundant number, since it is smaller than the sum of its proper divisors (63672433128).

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

34698114072 is a wasteful number, since it uses less digits than its factorization.

34698114072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14654 (or 14644 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 34698114072 in words is "thirty-four billion, six hundred ninety-eight million, one hundred fourteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 157 213 216 284 314 426 471 568 628 639 852 942 1256 1278 1413 1704 1884 1917 2556 2826 3768 3834 4239 5112 5652 7668 8478 11147 11304 14411 15336 16956 22294 28822 33441 33912 43233 44588 57644 66882 86466 89176 100323 115288 129699 133764 172932 200646 259398 267528 300969 345864 389097 401292 518796 601938 778194 802584 1023181 1037592 1203876 1556388 2046362 2262527 2407752 3069543 3112776 4092724 4525054 6139086 6787581 8185448 9050108 9208629 12278172 13575162 18100216 18417258 20362743 24556344 27150324 27625887 36834516 40725486 54300648 55251774 61088229 73669032 81450972 110503548 122176458 160639417 162901944 221007096 244352916 321278834 481918251 488705832 642557668 963836502 1285115336 1445754753 1927673004 2891509506 3855346008 4337264259 5783019012 8674528518 11566038024 17349057036 34698114072