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42404310 = 2345134027
BaseRepresentation
bin1010000111000…
…0100111010110
32221210100210000
42201300213112
541323414220
64112512130
71023300504
oct241604726
987710700
1042404310
1121a32a93
121224b646
138a29010
1458bb674
153ac9390
hex28709d6

42404310 has 80 divisors (see below), whose sum is σ = 122821776. Its totient is φ = 10435392.

The previous prime is 42404269. The next prime is 42404359. The reversal of 42404310 is 1340424.

It is a super-2 number, since 2×424043102 = 3596251013152200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8517 + ... + 12543.

Almost surely, 242404310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42404310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61410888).

42404310 is an abundant number, since it is smaller than the sum of its proper divisors (80417466).

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

42404310 is a wasteful number, since it uses less digits than its factorization.

42404310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4059 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42404310 is about 6511.8591815241. The cubic root of 42404310 is about 348.7144951715.

Adding to 42404310 its reverse (1340424), we get a palindrome (43744734).

The spelling of 42404310 in words is "forty-two million, four hundred four thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 3510 4027 5265 8054 10530 12081 20135 24162 36243 40270 52351 60405 72486 104702 108729 120810 157053 181215 217458 261755 314106 326187 362430 471159 523510 543645 652374 785265 942318 1087290 1413477 1570530 1630935 2355795 2826954 3261870 4240431 4711590 7067385 8480862 14134770 21202155 42404310