Search a number
-
+
34500151344 = 2436727673877
BaseRepresentation
bin100000001000010111…
…101000100000110000
310022001101010021111010
4200020113220200300
51031124014320334
623503225550520
72330642306421
oct401027504060
9108041107433
1034500151344
11136a448837a
12682a045440
13333a7c2749
141953d93648
15d6dc470e9
hex8085e8830

34500151344 has 80 divisors (see below), whose sum is σ = 90511651328. Its totient is φ = 11321392896.

The previous prime is 34500151313. The next prime is 34500151369. The reversal of 34500151344 is 44315100543.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8896734 + ... + 8900610.

Almost surely, 234500151344 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 34500151344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45255825664).

34500151344 is an abundant number, since it is smaller than the sum of its proper divisors (56011499984).

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

34500151344 is a wasteful number, since it uses less digits than its factorization.

34500151344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722 (or 6716 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 34500151344 its reverse (44315100543), we get a palindrome (78815251887).

The spelling of 34500151344 in words is "thirty-four billion, five hundred million, one hundred fifty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 2767 3216 3877 5534 7754 8301 11068 11631 15508 16602 22136 23262 31016 33204 44272 46524 62032 66408 93048 132816 185389 186096 259759 370778 519518 556167 741556 779277 1039036 1112334 1483112 1558554 2078072 2224668 2966224 3117108 4156144 4449336 6234216 8898672 10727659 12468432 21455318 32182977 42910636 64365954 85821272 128731908 171642544 257463816 514927632 718753153 1437506306 2156259459 2875012612 4312518918 5750025224 8625037836 11500050448 17250075672 34500151344