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34710327954 = 23319231114639
BaseRepresentation
bin100000010100111001…
…011001001010010010
310022121000121100121000
4200110321121022102
51032041320443304
623540134442430
72336103630261
oct402471311222
9108530540530
1034710327954
11137a2091155
126888503416
133372200ac3
141973c645d8
15d82411939
hex814e59292

34710327954 has 64 divisors (see below), whose sum is σ = 81234432000. Its totient is φ = 10955664720.

The previous prime is 34710327943. The next prime is 34710327959. The reversal of 34710327954 is 45972301743.

It is a super-2 number, since 2×347103279542 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34710327959) 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, 2363767 + ... + 2378405.

It is an arithmetic number, because the mean of its divisors is an integer number (1269288000).

Almost surely, 234710327954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34710327954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40617216000).

34710327954 is an abundant number, since it is smaller than the sum of its proper divisors (46524104046).

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

34710327954 is a wasteful number, since it uses less digits than its factorization.

34710327954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16980 (or 16974 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 34710327954 in words is "thirty-four billion, seven hundred ten million, three hundred twenty-seven thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 2311 4622 6933 13866 14639 20799 29278 41598 43909 43917 62397 87818 87834 124794 131727 131751 263454 263502 278141 395181 395253 556282 790362 790506 834423 1185543 1668846 2371086 2503269 5006538 7509807 15019614 33830729 67661458 101492187 202984374 304476561 608953122 642783851 913429683 1285567702 1826859366 1928351553 3856703106 5785054659 11570109318 17355163977 34710327954