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42430320 = 24325311901
BaseRepresentation
bin1010000111011…
…0111101110000
32221211200110100
42201312331300
541330232240
64113232400
71023436362
oct241667560
987750410
1042430320
1121a50589
1212262700
138a37aca
1458c6d32
153ad1e30
hex2876f70

42430320 has 120 divisors (see below), whose sum is σ = 147169152. Its totient is φ = 10944000.

The previous prime is 42430307. The next prime is 42430327. The reversal of 42430320 is 2303424.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 42430293 and 42430302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42430327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21370 + ... + 23270.

Almost surely, 242430320 is an apocalyptic number.

42430320 is a gapful number since it is divisible by the number (40) 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 42430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73584576).

42430320 is an abundant number, since it is smaller than the sum of its proper divisors (104738832).

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

42430320 is a wasteful number, since it uses less digits than its factorization.

42430320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 42430320 is about 6513.8560008646. The cubic root of 42430320 is about 348.7857788860.

Adding to 42430320 its reverse (2303424), we get a palindrome (44733744).

The spelling of 42430320 in words is "forty-two million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 1901 2232 2480 2790 3720 3802 4464 5580 5703 7440 7604 9505 11160 11406 15208 17109 19010 22320 22812 28515 30416 34218 38020 45624 57030 58931 68436 76040 85545 91248 114060 117862 136872 152080 171090 176793 228120 235724 273744 294655 342180 353586 456240 471448 530379 589310 684360 707172 883965 942896 1060758 1178620 1368720 1414344 1767930 2121516 2357240 2651895 2828688 3535860 4243032 4714480 5303790 7071720 8486064 10607580 14143440 21215160 42430320