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2985420321 = 341324672
BaseRepresentation
bin1011000111110001…
…1110011000100001
321201001121001210000
42301330132120201
522103231422241
61212123530213
7133660440222
oct26174363041
97631531700
102985420321
1112a2212524
126b3989969
1338767b300
142046cd249
15127163eb6
hexb1f1e621

2985420321 has 45 divisors (see below), whose sum is σ = 4839507651. Its totient is φ = 1833247728.

The previous prime is 2985420301. The next prime is 2985420331. The reversal of 2985420321 is 1230245892.

It is a happy number.

The square root of 2985420321 is 54639.

It is a perfect power (a square), and thus also a powerful number.

2985420321 is a `hidden beast` number, since 2 + 98 + 542 + 0 + 3 + 21 = 666.

2985420321 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 441630225 + 2543790096 = 21015^2 + 50436^2 .

It is not a de Polignac number, because 2985420321 - 29 = 2985419809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2985420301) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6392530 + ... + 6392996.

Almost surely, 22985420321 is an apocalyptic number.

2985420321 is the 54639-th square number.

2985420321 is the 27320-th centered octagonal number.

It is an amenable number.

2985420321 is a deficient number, since it is larger than the sum of its proper divisors (1854087330).

2985420321 is an frugal number, since it uses more digits than its factorization.

2985420321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 2985420321 is about 1439.9093823185.

Multiplying 2985420321 by its sum of digits (36), we get a square (107475131556 = 3278342).

The spelling of 2985420321 in words is "two billion, nine hundred eighty-five million, four hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 169 351 467 507 1053 1401 1521 4203 4563 6071 12609 13689 18213 37827 54639 78923 163917 218089 236769 491751 654267 710307 1962801 2130921 2835157 5888403 6392763 8505471 17665209 25516413 36857041 76549239 110571123 229647717 331713369 995140107 2985420321