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34240440 = 23351347467
BaseRepresentation
bin1000001010011…
…1011110111000
32101102121001110
42002213132320
532231143230
63221520320
7564016233
oct202473670
971377043
1034240440
1118367393
12b5730a0
13712b120
14479441a
1530154b0
hex20a77b8

34240440 has 128 divisors (see below), whose sum is σ = 113218560. Its totient is φ = 8231424.

The previous prime is 34240439. The next prime is 34240471. The reversal of 34240440 is 4404243.

34240440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73087 + ... + 73553.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 234240440 is an apocalyptic number.

34240440 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 34240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

34240440 is an abundant number, since it is smaller than the sum of its proper divisors (78978120).

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

34240440 is a wasteful number, since it uses less digits than its factorization.

34240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 34240440 is about 5851.5331324363. The cubic root of 34240440 is about 324.7230461077.

Adding to 34240440 its reverse (4404243), we get a palindrome (38644683).

The spelling of 34240440 in words is "thirty-four million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 47 52 60 65 78 94 104 120 130 141 156 188 195 235 260 282 312 376 390 467 470 520 564 611 705 780 934 940 1128 1222 1401 1410 1560 1833 1868 1880 2335 2444 2802 2820 3055 3666 3736 4670 4888 5604 5640 6071 6110 7005 7332 9165 9340 11208 12142 12220 14010 14664 18213 18330 18680 21949 24284 24440 28020 30355 36426 36660 43898 48568 56040 60710 65847 72852 73320 87796 91065 109745 121420 131694 145704 175592 182130 219490 242840 263388 285337 329235 364260 438980 526776 570674 658470 728520 856011 877960 1141348 1316940 1426685 1712022 2282696 2633880 2853370 3424044 4280055 5706740 6848088 8560110 11413480 17120220 34240440