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34819368 = 23337113347
BaseRepresentation
bin1000010011010…
…0110100101000
32102112000012020
42010310310220
532403204433
63242144440
7601650123
oct204646450
972460166
1034819368
1118722341
12b7b2120
1372a179c
1448a53ba
1530cbcb3
hex2134d28

34819368 has 64 divisors (see below), whose sum is σ = 90452160. Its totient is φ = 11160576.

The previous prime is 34819327. The next prime is 34819399. The reversal of 34819368 is 86391843.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100171 + ... + 100517.

It is an arithmetic number, because the mean of its divisors is an integer number (1413315).

Almost surely, 234819368 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 34819368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45226080).

34819368 is an abundant number, since it is smaller than the sum of its proper divisors (55632792).

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

34819368 is a wasteful number, since it uses less digits than its factorization.

34819368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 502 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 34819368 is about 5900.7938448992. The cubic root of 34819368 is about 326.5429370835.

The spelling of 34819368 in words is "thirty-four million, eight hundred nineteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 113 148 222 226 296 339 347 444 452 678 694 888 904 1041 1356 1388 2082 2712 2776 4164 4181 8328 8362 12543 12839 16724 25086 25678 33448 38517 39211 50172 51356 77034 78422 100344 102712 117633 154068 156844 235266 308136 313688 470532 941064 1450807 2901614 4352421 5803228 8704842 11606456 17409684 34819368