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34404440 = 23571929223
BaseRepresentation
bin1000001100111…
…1100001011000
32101201221000112
42003033201120
532301420230
63225223452
7565301330
oct203174130
971657015
1034404440
1118469624
12b631b88
137187975
1447d80c0
153048d95
hex20cf858

34404440 has 128 divisors (see below), whose sum is σ = 96768000. Its totient is φ = 10741248.

The previous prime is 34404431. The next prime is 34404443. The reversal of 34404440 is 4440443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34404443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154169 + ... + 154391.

It is an arithmetic number, because the mean of its divisors is an integer number (756000).

Almost surely, 234404440 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 34404440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384000).

34404440 is an abundant number, since it is smaller than the sum of its proper divisors (62363560).

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

34404440 is a wasteful number, since it uses less digits than its factorization.

34404440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 34404440 is about 5865.5298140918. The cubic root of 34404440 is about 325.2406580439.

Adding to 34404440 its reverse (4440443), we get a palindrome (38844883).

The spelling of 34404440 in words is "thirty-four million, four hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 29 35 38 40 56 58 70 76 95 116 133 140 145 152 190 203 223 232 266 280 290 380 406 446 532 551 580 665 760 812 892 1015 1064 1102 1115 1160 1330 1561 1624 1784 2030 2204 2230 2660 2755 3122 3857 4060 4237 4408 4460 5320 5510 6244 6467 7714 7805 8120 8474 8920 11020 12488 12934 15428 15610 16948 19285 21185 22040 25868 29659 30856 31220 32335 33896 38570 42370 45269 51736 59318 62440 64670 77140 84740 90538 118636 122873 129340 148295 154280 169480 181076 226345 237272 245746 258680 296590 362152 452690 491492 593180 614365 860111 905380 982984 1186360 1228730 1720222 1810760 2457460 3440444 4300555 4914920 6880888 8601110 17202220 34404440