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34108998 = 23721153199
BaseRepresentation
bin1000001000011…
…1011001000110
32101011220202020
42002013121012
532212441443
63215024010
7562631100
oct202073106
971156666
1034108998
1118287660
12b50b006
1370b3351
14475c570
152edb583
hex2087646

34108998 has 96 divisors (see below), whose sum is σ = 88646400. Its totient is φ = 8648640.

The previous prime is 34108957. The next prime is 34109003. The reversal of 34108998 is 89980143.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171303 + ... + 171501.

It is an arithmetic number, because the mean of its divisors is an integer number (923400).

Almost surely, 234108998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34108998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44323200).

34108998 is an abundant number, since it is smaller than the sum of its proper divisors (54537402).

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

34108998 is a wasteful number, since it uses less digits than its factorization.

34108998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 34108998 is about 5840.2909174116. The cubic root of 34108998 is about 324.3069983045.

The spelling of 34108998 in words is "thirty-four million, one hundred eight thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 53 66 77 98 106 147 154 159 199 231 294 318 371 398 462 539 583 597 742 1078 1113 1166 1194 1393 1617 1749 2189 2226 2597 2786 3234 3498 4081 4179 4378 5194 6567 7791 8162 8358 9751 10547 12243 13134 15323 15582 19502 21094 24486 28567 29253 30646 31641 45969 57134 58506 63282 73829 85701 91938 107261 116017 147658 171402 214522 221487 232034 321783 348051 442974 516803 643566 696102 812119 1033606 1550409 1624238 2436357 3100818 4872714 5684833 11369666 17054499 34108998