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41434302 = 23721337293
BaseRepresentation
bin1001111000001…
…1110010111110
32212222002011210
42132003302332
541101344202
64040025250
71012120500
oct236036276
985862153
1041434302
1121430228
1211a62226
138779650
145707d70
153986c6c
hex2783cbe

41434302 has 96 divisors (see below), whose sum is σ = 106983072. Its totient is φ = 10596096.

The previous prime is 41434273. The next prime is 41434303. The reversal of 41434302 is 20343414.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41434303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141268 + ... + 141560.

It is an arithmetic number, because the mean of its divisors is an integer number (1114407).

Almost surely, 241434302 is an apocalyptic number.

41434302 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41434302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53491536).

41434302 is an abundant number, since it is smaller than the sum of its proper divisors (65548770).

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

41434302 is a wasteful number, since it uses less digits than its factorization.

41434302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 355 counting only the distinct ones).

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

The square root of 41434302 is about 6436.9481899422. The cubic root of 41434302 is about 346.0349848238.

Adding to 41434302 its reverse (20343414), we get a palindrome (61777716).

It can be divided in two parts, 414 and 34302, that added together give a triangular number (34716 = T263).

The spelling of 41434302 in words is "forty-one million, four hundred thirty-four thousand, three hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 49 74 78 91 98 111 147 182 222 259 273 293 294 481 518 546 586 637 777 879 962 1274 1443 1554 1758 1813 1911 2051 2886 3367 3626 3809 3822 4102 5439 6153 6734 7618 10101 10841 10878 11427 12306 14357 20202 21682 22854 23569 26663 28714 32523 43071 47138 53326 65046 70707 75887 79989 86142 140933 141414 151774 159978 186641 227661 281866 373282 422799 455322 531209 559923 845598 986531 1062418 1119846 1593627 1973062 2959593 3187254 5919186 6905717 13811434 20717151 41434302