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34983396 = 22327294787
BaseRepresentation
bin1000010101110…
…0110111100100
32102211100012100
42011130313210
532423432041
63245452100
7603232260
oct205346744
972740170
1034983396
11188245a8
12b871030
13732b346
1449090a0
1531106b6
hex215cde4

34983396 has 72 divisors (see below), whose sum is σ = 104569920. Its totient is φ = 9648576.

The previous prime is 34983379. The next prime is 34983413. The reversal of 34983396 is 69338943.

34983396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34983379) and next prime (34983413).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4915 + ... + 9701.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 234983396 is an apocalyptic number.

34983396 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34983396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52284960).

34983396 is an abundant number, since it is smaller than the sum of its proper divisors (69586524).

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

34983396 is a wasteful number, since it uses less digits than its factorization.

34983396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4833 (or 4828 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 34983396 is about 5914.6763225049. The cubic root of 34983396 is about 327.0548963751.

The spelling of 34983396 in words is "thirty-four million, nine hundred eighty-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 4787 7308 9574 14361 19148 28722 33509 43083 57444 67018 86166 100527 134036 138823 172332 201054 277646 301581 402108 416469 555292 603162 832938 971761 1206324 1249407 1665876 1943522 2498814 2915283 3887044 4997628 5830566 8745849 11661132 17491698 34983396