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34327040 = 295112353
BaseRepresentation
bin1000001011110…
…0101000000000
32101120222211212
42002330220000
532241431130
63223425252
7564526556
oct202745000
971528755
1034327040
1118416460
12b5b5228
13715b677
1447b7bd6
153030e95
hex20bca00

34327040 has 160 divisors (see below), whose sum is σ = 95458176. Its totient is φ = 11714560.

The previous prime is 34327019. The next prime is 34327049. The reversal of 34327040 is 4072343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 34326997 and 34327015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34327049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 647654 + ... + 647706.

Almost surely, 234327040 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 34327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47729088).

34327040 is an abundant number, since it is smaller than the sum of its proper divisors (61131136).

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

34327040 is a wasteful number, since it uses less digits than its factorization.

34327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 94 counting only the distinct ones).

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

The square root of 34327040 is about 5858.9282296338. The cubic root of 34327040 is about 324.9965759008.

Adding to 34327040 its reverse (4072343), we get a palindrome (38399383).

The spelling of 34327040 in words is "thirty-four million, three hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 53 55 64 80 88 92 106 110 115 128 160 176 184 212 220 230 253 256 265 320 352 368 424 440 460 506 512 530 583 640 704 736 848 880 920 1012 1060 1166 1219 1265 1280 1408 1472 1696 1760 1840 2024 2120 2332 2438 2530 2560 2816 2915 2944 3392 3520 3680 4048 4240 4664 4876 5060 5632 5830 5888 6095 6784 7040 7360 8096 8480 9328 9752 10120 11660 11776 12190 13409 13568 14080 14720 16192 16960 18656 19504 20240 23320 24380 26818 27136 28160 29440 32384 33920 37312 39008 40480 46640 48760 53636 58880 64768 67045 67840 74624 78016 80960 93280 97520 107272 129536 134090 135680 149248 156032 161920 186560 195040 214544 268180 298496 312064 323840 373120 390080 429088 536360 624128 647680 746240 780160 858176 1072720 1492480 1560320 1716352 2145440 3120640 3432704 4290880 6865408 8581760 17163520 34327040