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42344208 = 243510891
BaseRepresentation
bin1010000110000…
…1111100010000
32221200022100000
42201201330100
541320003313
64111330000
71022630334
oct241417420
987608300
1042344208
11219a1915
1212220900
138a0785a
1458a37c4
153ab6673
hex2861f10

42344208 has 60 divisors (see below), whose sum is σ = 122905328. Its totient is φ = 14113440.

The previous prime is 42344189. The next prime is 42344231. The reversal of 42344208 is 80244324.

It is a happy number.

42344208 is a `hidden beast` number, since 4 + 234 + 420 + 8 = 666.

It is a super-2 number, since 2×423442082 = 3586063902294528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1558 + ... + 9333.

Almost surely, 242344208 is an apocalyptic number.

42344208 is a gapful number since it is divisible by the number (48) 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 42344208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61452664).

42344208 is an abundant number, since it is smaller than the sum of its proper divisors (80561120).

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

42344208 is a wasteful number, since it uses less digits than its factorization.

42344208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10914 (or 10896 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 42344208 is about 6507.2427340618. The cubic root of 42344208 is about 348.5496664214.

The spelling of 42344208 in words is "forty-two million, three hundred forty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 10891 21782 32673 43564 65346 87128 98019 130692 174256 196038 261384 294057 392076 522768 588114 784152 882171 1176228 1568304 1764342 2352456 2646513 3528684 4704912 5293026 7057368 10586052 14114736 21172104 42344208