Search a number
-
+
34103040 = 283583107
BaseRepresentation
bin1000001000010…
…1111100000000
32101011121120120
42002011330000
532212244130
63214540240
7562604526
oct202057400
971147516
1034103040
1118283134
12b507680
1370b071a
14475a316
152ed9910
hex2085f00

34103040 has 144 divisors (see below), whose sum is σ = 111259008. Its totient is φ = 8900608.

The previous prime is 34103039. The next prime is 34103053. The reversal of 34103040 is 4030143.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318667 + ... + 318773.

It is an arithmetic number, because the mean of its divisors is an integer number (772632).

Almost surely, 234103040 is an apocalyptic number.

34103040 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 34103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55629504).

34103040 is an abundant number, since it is smaller than the sum of its proper divisors (77155968).

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

34103040 is a wasteful number, since it uses less digits than its factorization.

34103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 34103040 is about 5839.7808178047. The cubic root of 34103040 is about 324.2881143958.

Adding to 34103040 its reverse (4030143), we get a palindrome (38133183).

The spelling of 34103040 in words is "thirty-four million, one hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 83 96 107 120 128 160 166 192 214 240 249 256 320 321 332 384 415 428 480 498 535 640 642 664 768 830 856 960 996 1070 1245 1280 1284 1328 1605 1660 1712 1920 1992 2140 2490 2568 2656 3210 3320 3424 3840 3984 4280 4980 5136 5312 6420 6640 6848 7968 8560 8881 9960 10272 10624 12840 13280 13696 15936 17120 17762 19920 20544 21248 25680 26560 26643 27392 31872 34240 35524 39840 41088 44405 51360 53120 53286 63744 68480 71048 79680 82176 88810 102720 106240 106572 133215 136960 142096 159360 177620 205440 213144 266430 284192 318720 355240 410880 426288 532860 568384 710480 852576 1065720 1136768 1420960 1705152 2131440 2273536 2841920 3410304 4262880 5683840 6820608 8525760 11367680 17051520 34103040