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34103020 = 22572172389
BaseRepresentation
bin1000001000010…
…1111011101100
32101011121112211
42002011323230
532212244040
63214540204
7562604500
oct202057354
971147484
1034103020
1118283116
12b507664
1370b0703
14475a300
152ed98ea
hex2085eec

34103020 has 144 divisors (see below), whose sum is σ = 93078720. Its totient is φ = 10407936.

The previous prime is 34102993. The next prime is 34103039. The reversal of 34103020 is 2030143.

It is a super-3 number, since 3×341030203 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383136 + ... + 383224.

It is an arithmetic number, because the mean of its divisors is an integer number (646380).

Almost surely, 234103020 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 34103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46539360).

34103020 is an abundant number, since it is smaller than the sum of its proper divisors (58975700).

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

34103020 is a wasteful number, since it uses less digits than its factorization.

34103020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 34103020 is about 5839.7791054114. The cubic root of 34103020 is about 324.2880510021.

Adding to 34103020 its reverse (2030143), we get a palindrome (36133163).

The spelling of 34103020 in words is "thirty-four million, one hundred three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 23 28 34 35 46 49 68 70 85 89 92 98 115 119 140 161 170 178 196 230 238 245 322 340 356 391 445 460 476 490 595 623 644 782 805 833 890 980 1127 1190 1246 1513 1564 1610 1666 1780 1955 2047 2254 2380 2492 2737 3026 3115 3220 3332 3910 4094 4165 4361 4508 5474 5635 6052 6230 7565 7820 8188 8330 8722 10235 10591 10948 11270 12460 13685 14329 15130 16660 17444 19159 20470 21182 21805 22540 27370 28658 30260 34799 38318 40940 42364 43610 52955 54740 57316 69598 71645 74137 76636 87220 95795 100303 105910 139196 143290 148274 173995 191590 200606 211820 243593 286580 296548 347990 370685 383180 401212 487186 501515 695980 741370 974372 1003030 1217965 1482740 1705151 2006060 2435930 3410302 4871860 6820604 8525755 17051510 34103020