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2343214544 = 2411101193683
BaseRepresentation
bin1000101110101010…
…1001110111010000
320001022011122001212
42023222221313100
514244330331134
61024303115252
7112031665166
oct21352516720
96038148055
102343214544
11aa2757850
125548a2b28
132b45c5ba8
141832bb236
15daaaabce
hex8baa9dd0

2343214544 has 80 divisors (see below), whose sum is σ = 5035017024. Its totient is φ = 1047552000.

The previous prime is 2343214541. The next prime is 2343214553. The reversal of 2343214544 is 4454123432.

2343214544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2343214544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2343214541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3430427 + ... + 3431109.

Almost surely, 22343214544 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 2343214544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517508512).

2343214544 is an abundant number, since it is smaller than the sum of its proper divisors (2691802480).

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

2343214544 is a wasteful number, since it uses less digits than its factorization.

2343214544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 990 counting only the distinct ones).

The product of its digits is 46080, while the sum is 32.

The square root of 2343214544 is about 48406.7613459112. The cubic root of 2343214544 is about 1328.2220469904. Note that the first 3 decimals are identical.

Adding to 2343214544 its reverse (4454123432), we get a palindrome (6797337976).

The spelling of 2343214544 in words is "two billion, three hundred forty-three million, two hundred fourteen thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 193 202 386 404 683 772 808 1111 1366 1544 1616 2123 2222 2732 3088 4246 4444 5464 7513 8492 8888 10928 15026 16984 17776 19493 30052 33968 38986 60104 68983 77972 120208 131819 137966 155944 214423 263638 275932 311888 428846 527276 551864 758813 857692 1054552 1103728 1450009 1517626 1715384 2109104 2900018 3035252 3430768 5800036 6070504 11600072 12141008 13313719 23200144 26627438 53254876 106509752 146450909 213019504 292901818 585803636 1171607272 2343214544