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34423020 = 22325312199
BaseRepresentation
bin1000001101010…
…0000011101100
32101202212111200
42003110003230
532303014040
63225445500
7565406442
oct203240354
971685450
1034423020
1118481585
12b640890
137193268
144800b92
15304e630
hex20d40ec

34423020 has 108 divisors (see below), whose sum is σ = 108435600. Its totient is φ = 8838720.

The previous prime is 34423013. The next prime is 34423027. The reversal of 34423020 is 2032443.

It is an interprime number because it is at equal distance from previous prime (34423013) and next prime (34423027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34422984 and 34423002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34423027) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 172881 + ... + 173079.

Almost surely, 234423020 is an apocalyptic number.

34423020 is a gapful number since it is divisible by the number (30) 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 34423020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54217800).

34423020 is an abundant number, since it is smaller than the sum of its proper divisors (74012580).

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

34423020 is a wasteful number, since it uses less digits than its factorization.

34423020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 34423020 is about 5867.1134299586. The cubic root of 34423020 is about 325.2991958753.

Adding to 34423020 its reverse (2032443), we get a palindrome (36455463).

The spelling of 34423020 in words is "thirty-four million, four hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 199 279 310 372 398 465 558 597 620 796 930 961 995 1116 1194 1395 1791 1860 1922 1990 2388 2790 2883 2985 3582 3844 3980 4805 5580 5766 5970 6169 7164 8649 8955 9610 11532 11940 12338 14415 17298 17910 18507 19220 24676 28830 30845 34596 35820 37014 43245 55521 57660 61690 74028 86490 92535 111042 123380 172980 185070 191239 222084 277605 370140 382478 555210 573717 764956 956195 1110420 1147434 1721151 1912390 2294868 2868585 3442302 3824780 5737170 6884604 8605755 11474340 17211510 34423020