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2332431416 = 2371712971889
BaseRepresentation
bin1000101100000110…
…0001010000111000
320000112212210101202
42023001201100320
514234100301131
61023240033332
7111541224410
oct21301412070
96015783352
102332431416
11a97662277
12551162848
132b22bba43
14181ab1640
15d9b7abcb
hex8b061438

2332431416 has 64 divisors (see below), whose sum is σ = 5298955200. Its totient is φ = 939589632.

The previous prime is 2332431391. The next prime is 2332431421. The reversal of 2332431416 is 6141342332.

It is a congruent number.

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, 1233800 + ... + 1235688.

It is an arithmetic number, because the mean of its divisors is an integer number (82796175).

Almost surely, 22332431416 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 2332431416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649477600).

2332431416 is an abundant number, since it is smaller than the sum of its proper divisors (2966523784).

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

2332431416 is a wasteful number, since it uses less digits than its factorization.

2332431416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3212 counting only the distinct ones).

The product of its digits is 10368, while the sum is 29.

The square root of 2332431416 is about 48295.2525203047. The cubic root of 2332431416 is about 1326.1814862910.

Adding to 2332431416 its reverse (6141342332), we get a palindrome (8473773748).

The spelling of 2332431416 in words is "two billion, three hundred thirty-two million, four hundred thirty-one thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 1297 1889 2594 3778 5188 7556 9079 10376 13223 15112 18158 22049 26446 32113 36316 44098 52892 64226 72632 88196 105784 128452 154343 176392 224791 256904 308686 449582 617372 899164 1234744 1798328 2450033 4900066 9800132 17150231 19600264 34300462 41650561 68600924 83301122 137201848 166602244 291553927 333204488 583107854 1166215708 2332431416