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34850984 = 2374143353
BaseRepresentation
bin1000010011110…
…0100010101000
32102120121120012
42010330202220
532410212414
63242551052
7602141240
oct204744250
972517505
1034850984
1118744073
12b808488
1372b2cac
1448b2b20
1530d633e
hex213c8a8

34850984 has 64 divisors (see below), whose sum is σ = 78503040. Its totient is φ = 14192640.

The previous prime is 34850983. The next prime is 34850987. The reversal of 34850984 is 48905843.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (34850983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98552 + ... + 98904.

It is an arithmetic number, because the mean of its divisors is an integer number (1226610).

Almost surely, 234850984 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 34850984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39251520).

34850984 is an abundant number, since it is smaller than the sum of its proper divisors (43652056).

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

34850984 is a wasteful number, since it uses less digits than its factorization.

34850984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 34850984 is about 5903.4721986302. The cubic root of 34850984 is about 326.6417408905.

The spelling of 34850984 in words is "thirty-four million, eight hundred fifty thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 41 43 56 82 86 164 172 287 301 328 344 353 574 602 706 1148 1204 1412 1763 2296 2408 2471 2824 3526 4942 7052 9884 12341 14104 14473 15179 19768 24682 28946 30358 49364 57892 60716 98728 101311 106253 115784 121432 202622 212506 405244 425012 622339 810488 850024 1244678 2489356 4356373 4978712 8712746 17425492 34850984