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34622980 = 22572231109
BaseRepresentation
bin1000010000010…
…0111000000100
32102011000210121
42010010320010
532330413410
63234031324
7600201430
oct204047004
972130717
1034622980
11185a8837
12b718544
137233292
1448539c0
15308d9da
hex2104e04

34622980 has 48 divisors (see below), whose sum is σ = 83543040. Its totient is φ = 11806848.

The previous prime is 34622977. The next prime is 34622989. The reversal of 34622980 is 8922643.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34622989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30666 + ... + 31774.

It is an arithmetic number, because the mean of its divisors is an integer number (1740480).

Almost surely, 234622980 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 34622980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41771520).

34622980 is an abundant number, since it is smaller than the sum of its proper divisors (48920060).

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

34622980 is a wasteful number, since it uses less digits than its factorization.

34622980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 34622980 is about 5884.1295023138. The cubic root of 34622980 is about 325.9278573724.

The spelling of 34622980 in words is "thirty-four million, six hundred twenty-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 223 446 892 1109 1115 1561 2218 2230 3122 4436 4460 5545 6244 7763 7805 11090 15526 15610 22180 31052 31220 38815 77630 155260 247307 494614 989228 1236535 1731149 2473070 3462298 4946140 6924596 8655745 17311490 34622980