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42374370 = 23517194373
BaseRepresentation
bin1010000110100…
…1010011100010
32221201211201010
42201221103202
541321434440
64112121350
71023114303
oct241512342
987654633
1042374370
1121a12545
1212236256
138a184bc
1458b07aa
153ac0580
hex28694e2

42374370 has 64 divisors (see below), whose sum is σ = 113374080. Its totient is φ = 10073088.

The previous prime is 42374363. The next prime is 42374377. The reversal of 42374370 is 7347324.

It is an interprime number because it is at equal distance from previous prime (42374363) and next prime (42374377).

It is a super-3 number, since 3×423743703 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42374377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7504 + ... + 11876.

It is an arithmetic number, because the mean of its divisors is an integer number (1771470).

Almost surely, 242374370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42374370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56687040).

42374370 is an abundant number, since it is smaller than the sum of its proper divisors (70999710).

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

42374370 is a wasteful number, since it uses less digits than its factorization.

42374370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419.

The product of its (nonzero) digits is 14112, while the sum is 30.

The square root of 42374370 is about 6509.5598929574. The cubic root of 42374370 is about 348.6324046941.

The spelling of 42374370 in words is "forty-two million, three hundred seventy-four thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 323 510 570 646 969 1615 1938 3230 4373 4845 8746 9690 13119 21865 26238 43730 65595 74341 83087 131190 148682 166174 223023 249261 371705 415435 446046 498522 743410 830870 1115115 1246305 1412479 2230230 2492610 2824958 4237437 7062395 8474874 14124790 21187185 42374370