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23434140 = 22353143293
BaseRepresentation
bin101100101100…
…1001110011100
31122002120121010
41121121032130
521444343030
62154135220
7403121052
oct131311634
948076533
1023434140
1112256464
127a21510
134b16572
1431801d2
1520cd6b0
hex165939c

23434140 has 96 divisors (see below), whose sum is σ = 69543936. Its totient is φ = 5886720.

The previous prime is 23434139. The next prime is 23434157. The reversal of 23434140 is 4143432.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 79834 + ... + 80126.

It is an arithmetic number, because the mean of its divisors is an integer number (724416).

Almost surely, 223434140 is an apocalyptic number.

23434140 is a gapful number since it is divisible by the number (20) 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 23434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34771968).

23434140 is an abundant number, since it is smaller than the sum of its proper divisors (46109796).

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

23434140 is a wasteful number, since it uses less digits than its factorization.

23434140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 23434140 is about 4840.8821510134. The cubic root of 23434140 is about 286.1648844653.

Adding to 23434140 its reverse (4143432), we get a palindrome (27577572).

The spelling of 23434140 in words is "twenty-three million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 43 60 62 86 93 124 129 155 172 186 215 258 293 310 372 430 465 516 586 620 645 860 879 930 1172 1290 1333 1465 1758 1860 2580 2666 2930 3516 3999 4395 5332 5860 6665 7998 8790 9083 12599 13330 15996 17580 18166 19995 25198 26660 27249 36332 37797 39990 45415 50396 54498 62995 75594 79980 90830 108996 125990 136245 151188 181660 188985 251980 272490 377970 390569 544980 755940 781138 1171707 1562276 1952845 2343414 3905690 4686828 5858535 7811380 11717070 23434140