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34211050240 = 285173135023
BaseRepresentation
bin11111110111001000…
…110011001100000000
310021022020010102022211
4133313020303030000
51030031012101430
623414421311504
72320532062153
oct376710631400
9107266112284
1034211050240
1113566278444
126769265594
1332c293c6c3
141927819c9a
15d5368c72a
hex7f7233300

34211050240 has 144 divisors (see below), whose sum is σ = 87061056768. Its totient is φ = 12835749888.

The previous prime is 34211050213. The next prime is 34211050249. The reversal of 34211050240 is 4205011243.

It is not an unprimeable number, because it can be changed into a prime (34211050249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6808369 + ... + 6813391.

It is an arithmetic number, because the mean of its divisors is an integer number (604590672).

Almost surely, 234211050240 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 34211050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43530528384).

34211050240 is an abundant number, since it is smaller than the sum of its proper divisors (52850006528).

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

34211050240 is a wasteful number, since it uses less digits than its factorization.

34211050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5374 (or 5360 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 34211050240 its reverse (4205011243), we get a palindrome (38416061483).

The spelling of 34211050240 in words is "thirty-four billion, two hundred eleven million, fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 313 320 340 544 626 640 680 1088 1252 1280 1360 1565 2176 2504 2720 3130 4352 5008 5023 5321 5440 6260 10016 10046 10642 10880 12520 20032 20092 21284 21760 25040 25115 26605 40064 40184 42568 50080 50230 53210 80128 80368 85136 85391 100160 100460 106420 160736 170272 170782 200320 200920 212840 321472 340544 341564 400640 401840 425680 426955 642944 681088 683128 803680 851360 853910 1285888 1362176 1366256 1572199 1607360 1702720 1707820 2732512 3144398 3214720 3405440 3415640 5465024 6288796 6429440 6810880 6831280 7860995 10930048 12577592 13662560 15721990 21860096 25155184 26727383 27325120 31443980 50310368 53454766 54650240 62887960 100620736 106909532 109300480 125775920 133636915 201241472 213819064 251551840 267273830 402482944 427638128 503103680 534547660 855276256 1006207360 1069095320 1710552512 2012414720 2138190640 3421105024 4276381280 6842210048 8552762560 17105525120 34211050240