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34724140608 = 2633112914519
BaseRepresentation
bin100000010101101110…
…000101011001000000
310022121222121002222210
4200111232011121000
51032103334444413
623541350502120
72336332216353
oct402556053100
9108558532883
1034724140608
11137a9965873
126891064940
133375028b81
141975a1c29a
15d8373e3c3
hex815b85640

34724140608 has 112 divisors (see below), whose sum is σ = 94932439040. Its totient is φ = 11190182400.

The previous prime is 34724140603. The next prime is 34724140621. The reversal of 34724140608 is 80604142743.

It is not an unprimeable number, because it can be changed into a prime (34724140601) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7681773 + ... + 7686291.

Almost surely, 234724140608 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 34724140608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47466219520).

34724140608 is an abundant number, since it is smaller than the sum of its proper divisors (60208298432).

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

34724140608 is a wasteful number, since it uses less digits than its factorization.

34724140608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5856 (or 5846 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 34724140608 in words is "thirty-four billion, seven hundred twenty-four million, one hundred forty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1291 1488 1984 2582 2976 3873 4519 5164 5952 7746 9038 10328 13557 15492 18076 20656 27114 30984 36152 40021 41312 54228 61968 72304 80042 82624 108456 120063 123936 140089 144608 160084 216912 240126 247872 280178 289216 320168 420267 433824 480252 560356 640336 840534 867648 960504 1120712 1280672 1681068 1921008 2241424 2561344 3362136 3842016 4482848 5834029 6724272 7684032 8965696 11668058 13448544 17502087 23336116 26897088 35004174 46672232 70008348 93344464 140016696 180854899 186688928 280033392 361709798 373377856 542564697 560066784 723419596 1085129394 1120133568 1446839192 2170258788 2893678384 4340517576 5787356768 8681035152 11574713536 17362070304 34724140608