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34743020 = 22513219541
BaseRepresentation
bin1000010010001…
…0001011101100
32102101010110112
42010202023230
532343234040
63240355152
7601211414
oct204421354
972333415
1034743020
111867aa44
12b775ab8
137275b00
144885644
1530b4365
hex21222ec

34743020 has 72 divisors (see below), whose sum is σ = 83316240. Its totient is φ = 12130560.

The previous prime is 34743017. The next prime is 34743029. The reversal of 34743020 is 2034743.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34743029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63950 + ... + 64490.

It is an arithmetic number, because the mean of its divisors is an integer number (1157170).

Almost surely, 234743020 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 34743020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41658120).

34743020 is an abundant number, since it is smaller than the sum of its proper divisors (48573220).

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

34743020 is a wasteful number, since it uses less digits than its factorization.

34743020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 23.

The square root of 34743020 is about 5894.3209956703. The cubic root of 34743020 is about 326.3040935345.

Adding to 34743020 its reverse (2034743), we get a palindrome (36777763).

The spelling of 34743020 in words is "thirty-four million, seven hundred forty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 169 190 247 260 338 380 494 541 676 845 988 1082 1235 1690 2164 2470 2705 3211 3380 4940 5410 6422 7033 10279 10820 12844 14066 16055 20558 28132 32110 35165 41116 51395 64220 70330 91429 102790 133627 140660 182858 205580 267254 365716 457145 534508 668135 914290 1336270 1737151 1828580 2672540 3474302 6948604 8685755 17371510 34743020