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2314246848 = 263103117023
BaseRepresentation
bin1000100111110000…
…1001101011000000
312222021122220212020
42021330021223000
514214421344343
61021350201440
7111230526234
oct21174115300
95867586766
102314246848
11a88371a01
12547053280
132ab5c2a44
1417d4da5c4
15d8287b83
hex89f09ac0

2314246848 has 56 divisors (see below), whose sum is σ = 6182611968. Its totient is φ = 763919616.

The previous prime is 2314246843. The next prime is 2314246931. The reversal of 2314246848 is 8486424132.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2314246841) 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 7 ways as a sum of consecutive naturals, for example, 38736 + ... + 78287.

Almost surely, 22314246848 is an apocalyptic number.

It is an amenable number.

2314246848 is an abundant number, since it is smaller than the sum of its proper divisors (3868365120).

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

2314246848 is a wasteful number, since it uses less digits than its factorization.

2314246848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117141 (or 117131 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 2314246848 is about 48106.6195860819. The cubic root of 2314246848 is about 1322.7260101893.

The spelling of 2314246848 in words is "two billion, three hundred fourteen million, two hundred forty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 192 206 309 412 618 824 1236 1648 2472 3296 4944 6592 9888 19776 117023 234046 351069 468092 702138 936184 1404276 1872368 2808552 3744736 5617104 7489472 11234208 12053369 22468416 24106738 36160107 48213476 72320214 96426952 144640428 192853904 289280856 385707808 578561712 771415616 1157123424 2314246848