Search a number
-
+
34102640 = 24511213271
BaseRepresentation
bin1000001000010…
…1110101110000
32101011121000202
42002011311300
532212241030
63214534332
7562603415
oct202056560
971147022
1034102640
1118282900
12b5073a8
1370b04a0
14475a10c
152ed9745
hex2085d70

34102640 has 120 divisors (see below), whose sum is σ = 94202304. Its totient is φ = 11404800.

The previous prime is 34102619. The next prime is 34102657. The reversal of 34102640 is 4620143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125705 + ... + 125975.

Almost surely, 234102640 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 34102640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47101152).

34102640 is an abundant number, since it is smaller than the sum of its proper divisors (60099664).

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

34102640 is a wasteful number, since it uses less digits than its factorization.

34102640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 34102640 is about 5839.7465698436. The cubic root of 34102640 is about 324.2868465152.

Adding to 34102640 its reverse (4620143), we get a palindrome (38722783).

The spelling of 34102640 in words is "thirty-four million, one hundred two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 121 130 143 176 208 220 242 260 271 286 440 484 520 542 572 605 715 880 968 1040 1084 1144 1210 1355 1430 1573 1936 2168 2288 2420 2710 2860 2981 3146 3523 4336 4840 5420 5720 5962 6292 7046 7865 9680 10840 11440 11924 12584 14092 14905 15730 17615 21680 23848 25168 28184 29810 31460 32791 35230 38753 47696 56368 59620 62920 65582 70460 77506 119240 125840 131164 140920 155012 163955 193765 238480 262328 281840 310024 327910 387530 426283 524656 620048 655820 775060 852566 1311640 1550120 1705132 2131415 2623280 3100240 3410264 4262830 6820528 8525660 17051320 34102640