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34993896 = 2337192577
BaseRepresentation
bin1000010101111…
…1011011101000
32102211212121020
42011133123220
532424301041
63250012440
7603305010
oct205373350
972755536
1034993896
1118831483
12b877120
137333062
14490cc40
153113866
hex215f6e8

34993896 has 96 divisors (see below), whose sum is σ = 105704640. Its totient is φ = 9455616.

The previous prime is 34993883. The next prime is 34993913. The reversal of 34993896 is 69839943.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60360 + ... + 60936.

It is an arithmetic number, because the mean of its divisors is an integer number (1101090).

Almost surely, 234993896 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 34993896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52852320).

34993896 is an abundant number, since it is smaller than the sum of its proper divisors (70710744).

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

34993896 is a wasteful number, since it uses less digits than its factorization.

34993896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 608 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 51.

The square root of 34993896 is about 5915.5638784481. The cubic root of 34993896 is about 327.0876141145.

The spelling of 34993896 in words is "thirty-four million, nine hundred ninety-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 361 399 456 532 577 722 798 1064 1083 1154 1444 1596 1731 2166 2308 2527 2888 3192 3462 4039 4332 4616 5054 6924 7581 8078 8664 10108 10963 12117 13848 15162 16156 20216 21926 24234 30324 32312 32889 43852 48468 60648 65778 76741 87704 96936 131556 153482 208297 230223 263112 306964 416594 460446 613928 624891 833188 920892 1249782 1458079 1666376 1841784 2499564 2916158 4374237 4999128 5832316 8748474 11664632 17496948 34993896