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830307308944 = 24107221292
BaseRepresentation
bin11000001010100100010…
…11000001010110010000
32221101011112200112222111
430011102023001112100
5102100432132341234
61433234331115104
7113662534451221
oct14052213012620
92841145615874
10830307308944
112a0149914563
12114b042a2a94
13603b3bcb289
142c289527248
15168e8dc0664
hexc1522c1590

830307308944 has 45 divisors (see below), whose sum is σ = 1624658801857. Its totient is φ = 411080536832.

The previous prime is 830307308933. The next prime is 830307308947. The reversal of 830307308944 is 449803703038.

The square root of 830307308944 is 911212.

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

It can be written as a sum of positive squares in only one way, i.e., 210119558544 + 620187750400 = 458388^2 + 787520^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (830307308947) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 389997672 + ... + 389999800.

Almost surely, 2830307308944 is an apocalyptic number.

830307308944 is the 911212-nd square number.

It is an amenable number.

830307308944 is a deficient number, since it is larger than the sum of its proper divisors (794351492913).

830307308944 is an frugal number, since it uses more digits than its factorization.

830307308944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4480 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

Multiplying 830307308944 by its sum of digits (49), we get a square (40685058138256 = 63784842).

The spelling of 830307308944 in words is "eight hundred thirty billion, three hundred seven million, three hundred eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 107 214 428 856 1712 2129 4258 8516 11449 17032 22898 34064 45796 91592 183184 227803 455606 911212 1822424 3644848 4532641 9065282 18130564 24374921 36261128 48749842 72522256 97499684 194999368 389998736 484992587 969985174 1939970348 3879940696 7759881392 51894206809 103788413618 207576827236 415153654472 830307308944