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12434020340 = 22572322717011
BaseRepresentation
bin10111001010010000…
…00001011111110100
31012002112210200022212
423211020001133310
5200431102122330
65413452112552
7620061300110
oct134510013764
935075720285
1012434020340
115300753575
1224b0165758
131232057cb1
1485d51a740
154cb904295
hex2e52017f4

12434020340 has 96 divisors (see below), whose sum is σ = 31278127104. Its totient is φ = 4059538560.

The previous prime is 12434020327. The next prime is 12434020351. The reversal of 12434020340 is 4302043421.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 722435 + ... + 739445.

It is an arithmetic number, because the mean of its divisors is an integer number (325813824).

Almost surely, 212434020340 is an apocalyptic number.

12434020340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12434020340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15639063552).

12434020340 is an abundant number, since it is smaller than the sum of its proper divisors (18844106764).

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

12434020340 is a wasteful number, since it uses less digits than its factorization.

12434020340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17277 (or 17275 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 12434020340 its reverse (4302043421), we get a palindrome (16736063761).

The spelling of 12434020340 in words is "twelve billion, four hundred thirty-four million, twenty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 227 230 322 454 460 644 805 908 1135 1589 1610 2270 3178 3220 4540 5221 6356 7945 10442 15890 17011 20884 26105 31780 34022 36547 52210 68044 73094 85055 104420 119077 146188 170110 182735 238154 340220 365470 391253 476308 595385 730940 782506 1190770 1565012 1956265 2381540 2738771 3861497 3912530 5477542 7722994 7825060 10955084 13693855 15445988 19307485 27030479 27387710 38614970 54060958 54775420 77229940 88814431 108121916 135152395 177628862 270304790 355257724 444072155 540609580 621701017 888144310 1243402034 1776288620 2486804068 3108505085 6217010170 12434020340