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34425435400 = 2352614316547
BaseRepresentation
bin100000000011111010…
…100111010100001000
310021212011112022110221
4200003322213110020
51031000402413100
623452000315424
72326044241606
oct400372472410
9107764468427
1034425435400
1113666296164
126809012b74
133328192525
1419480a4876
15d673d901a
hex803ea7508

34425435400 has 96 divisors (see below), whose sum is σ = 81552458880. Its totient is φ = 13510944000.

The previous prime is 34425435347. The next prime is 34425435409. The reversal of 34425435400 is 453452443.

It is a super-2 number, since 2×344254354002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34425435409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5254927 + ... + 5261473.

It is an arithmetic number, because the mean of its divisors is an integer number (849504780).

Almost surely, 234425435400 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 34425435400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40776229440).

34425435400 is an abundant number, since it is smaller than the sum of its proper divisors (47127023480).

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

34425435400 is a wasteful number, since it uses less digits than its factorization.

34425435400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7055 (or 7046 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 34.

Adding to 34425435400 its reverse (453452443), we get a palindrome (34878887843).

The spelling of 34425435400 in words is "thirty-four billion, four hundred twenty-five million, four hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 431 488 610 862 1220 1525 1724 2155 2440 3050 3448 4310 6100 6547 8620 10775 12200 13094 17240 21550 26188 26291 32735 43100 52376 52582 65470 86200 105164 130940 131455 163675 210328 261880 262910 327350 399367 525820 654700 657275 798734 1051640 1309400 1314550 1597468 1996835 2629100 2821757 3194936 3993670 5258200 5643514 7987340 9984175 11287028 14108785 15974680 19968350 22574056 28217570 39936700 56435140 70543925 79873400 112870280 141087850 172127177 282175700 344254354 564351400 688508708 860635885 1377017416 1721271770 3442543540 4303179425 6885087080 8606358850 17212717700 34425435400