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34232243320 = 23511732115051
BaseRepresentation
bin11111111000011001…
…101001010001111000
310021100201000010202201
4133320121221101320
51030101423241240
623420455435544
72321210160442
oct377031512170
9107321003681
1034232243320
1113577233090
126774385bb4
1332c714cba2
14192a575492
15d55476d9a
hex7f8669478

34232243320 has 128 divisors (see below), whose sum is σ = 85596238080. Its totient is φ = 12216960000.

The previous prime is 34232243317. The next prime is 34232243327. The reversal of 34232243320 is 2334223243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34232243327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6774795 + ... + 6779845.

It is an arithmetic number, because the mean of its divisors is an integer number (668720610).

Almost surely, 234232243320 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 34232243320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42798119040).

34232243320 is an abundant number, since it is smaller than the sum of its proper divisors (51363994760).

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

34232243320 is a wasteful number, since it uses less digits than its factorization.

34232243320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5357 (or 5353 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 34232243320 its reverse (2334223243), we get a palindrome (36566466563).

The spelling of 34232243320 in words is "thirty-four billion, two hundred thirty-two million, two hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 211 220 292 365 422 440 584 730 803 844 1055 1460 1606 1688 2110 2321 2920 3212 4015 4220 4642 5051 6424 8030 8440 9284 10102 11605 15403 16060 18568 20204 23210 25255 30806 32120 40408 46420 50510 55561 61612 77015 92840 101020 111122 123224 154030 169433 202040 222244 277805 308060 338866 368723 444488 555610 616120 677732 737446 847165 1065761 1111220 1355464 1474892 1694330 1843615 2131522 2222440 2949784 3388660 3687230 4055953 4263044 5328805 6777320 7374460 8111906 8526088 10657610 11723371 14748920 16223812 20279765 21315220 23446742 32447624 40559530 42630440 46893484 58616855 77800553 81119060 93786968 117233710 155601106 162238120 234467420 311202212 389002765 468934840 622404424 778005530 855806083 1556011060 1711612166 3112022120 3423224332 4279030415 6846448664 8558060830 17116121660 34232243320