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214034304324 = 223151734916073
BaseRepresentation
bin1100011101010101110…
…0000100110101000100
3202110110102022012202110
43013111130010311010
512001320240214244
6242154225541020
721314653366101
oct3072534046504
9673412265673
10214034304324
118285386a815
12355937a4770
131724ca7c269
14a505d67aa8
15587a5d19b9
hex31d5704d44

214034304324 has 48 divisors (see below), whose sum is σ = 502820438400. Its totient is φ = 70858233600.

The previous prime is 214034304313. The next prime is 214034304329. The reversal of 214034304324 is 423403430412.

It is a happy number.

214034304324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214034304291 and 214034304300.

It is not an unprimeable number, because it can be changed into a prime (214034304329) 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, 13308352 + ... + 13324424.

It is an arithmetic number, because the mean of its divisors is an integer number (10475425800).

Almost surely, 2214034304324 is an apocalyptic number.

It is an amenable number.

214034304324 is an abundant number, since it is smaller than the sum of its proper divisors (288786134076).

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

214034304324 is a wasteful number, since it uses less digits than its factorization.

214034304324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23580 (or 23578 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 214034304324 its reverse (423403430412), we get a palindrome (637437734736).

The spelling of 214034304324 in words is "two hundred fourteen billion, thirty-four million, three hundred four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 151 302 453 604 906 1812 7349 14698 16073 22047 29396 32146 44094 48219 64292 88188 96438 192876 1109699 2219398 2427023 3329097 4438796 4854046 6658194 7281069 9708092 13316388 14562138 29124276 118120477 236240954 354361431 472481908 708722862 1417445724 17836192027 35672384054 53508576081 71344768108 107017152162 214034304324