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42347400 = 23352163433
BaseRepresentation
bin1010000110001…
…0101110001000
32221200110201020
42201202232020
541320104100
64111352440
71022642544
oct241425610
987613636
1042347400
11219a4257
1212222720
138a09144
1458a4a24
153ab75a0
hex2862b88

42347400 has 96 divisors (see below), whose sum is σ = 132387360. Its totient is φ = 11197440.

The previous prime is 42347377. The next prime is 42347407. The reversal of 42347400 is 474324.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42347407) 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, 97584 + ... + 98016.

It is an arithmetic number, because the mean of its divisors is an integer number (1379035).

Almost surely, 242347400 is an apocalyptic number.

42347400 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 42347400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66193680).

42347400 is an abundant number, since it is smaller than the sum of its proper divisors (90039960).

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

42347400 is a wasteful number, since it uses less digits than its factorization.

42347400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 42347400 is about 6507.4879946105. The cubic root of 42347400 is about 348.5584243494.

The spelling of 42347400 in words is "forty-two million, three hundred forty-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 163 200 300 326 433 489 600 652 815 866 978 1299 1304 1630 1732 1956 2165 2445 2598 3260 3464 3912 4075 4330 4890 5196 6495 6520 8150 8660 9780 10392 10825 12225 12990 16300 17320 19560 21650 24450 25980 32475 32600 43300 48900 51960 64950 70579 86600 97800 129900 141158 211737 259800 282316 352895 423474 564632 705790 846948 1058685 1411580 1693896 1764475 2117370 2823160 3528950 4234740 5293425 7057900 8469480 10586850 14115800 21173700 42347400