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42344016 = 243111331199
BaseRepresentation
bin1010000110000…
…1111001010000
32221200022001220
42201201321100
541320002031
64111325040
71022626641
oct241417120
987608056
1042344016
11219a1760
1212220780
138a07740
1458a36c8
153ab6596
hex2861e50

42344016 has 160 divisors (see below), whose sum is σ = 133324800. Its totient is φ = 11404800.

The previous prime is 42344011. The next prime is 42344017. The reversal of 42344016 is 61044324.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42344011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212685 + ... + 212883.

It is an arithmetic number, because the mean of its divisors is an integer number (833280).

Almost surely, 242344016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42344016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66662400).

42344016 is an abundant number, since it is smaller than the sum of its proper divisors (90980784).

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

42344016 is a wasteful number, since it uses less digits than its factorization.

42344016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 42344016 is about 6507.2279812528. The cubic root of 42344016 is about 348.5491396147.

The spelling of 42344016 in words is "forty-two million, three hundred forty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 31 33 39 44 48 52 62 66 78 88 93 104 124 132 143 156 176 186 199 208 248 264 286 312 341 372 398 403 429 496 528 572 597 624 682 744 796 806 858 1023 1144 1194 1209 1364 1488 1592 1612 1716 2046 2189 2288 2388 2418 2587 2728 3184 3224 3432 4092 4378 4433 4776 4836 5174 5456 6169 6448 6567 6864 7761 8184 8756 8866 9552 9672 10348 12338 13134 13299 15522 16368 17512 17732 18507 19344 20696 24676 26268 26598 28457 31044 35024 35464 37014 41392 49352 52536 53196 56914 62088 67859 70928 74028 80197 85371 98704 105072 106392 113828 124176 135718 148056 160394 170742 203577 212784 227656 240591 271436 296112 320788 341484 407154 455312 481182 542872 641576 682968 814308 882167 962364 1085744 1283152 1365936 1628616 1764334 1924728 2646501 3257232 3528668 3849456 5293002 7057336 10586004 14114672 21172008 42344016