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442270374 = 23731361271
BaseRepresentation
bin11010010111001…
…000001010100110
31010211012122220020
4122113020022212
51401210122444
6111515220010
713650144000
oct3227101246
91124178806
10442270374
11207717307
12104147606
1370821660
1442a49370
1528c63119
hex1a5c82a6

442270374 has 128 divisors (see below), whose sum is σ = 1133260800. Its totient is φ = 114307200.

The previous prime is 442270373. The next prime is 442270441. The reversal of 442270374 is 473072244.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442270373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1631859 + ... + 1632129.

It is an arithmetic number, because the mean of its divisors is an integer number (8853600).

Almost surely, 2442270374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442270374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566630400).

442270374 is an abundant number, since it is smaller than the sum of its proper divisors (690990426).

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

442270374 is a wasteful number, since it uses less digits than its factorization.

442270374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 33.

The square root of 442270374 is about 21030.2252484371. The cubic root of 442270374 is about 761.8964491661.

The spelling of 442270374 in words is "four hundred forty-two million, two hundred seventy thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 61 78 91 98 122 147 182 183 271 273 294 343 366 427 542 546 637 686 793 813 854 1029 1274 1281 1586 1626 1897 1911 2058 2379 2562 2989 3523 3794 3822 4459 4758 5551 5691 5978 7046 8918 8967 10569 11102 11382 13279 13377 16531 16653 17934 20923 21138 24661 26558 26754 33062 33306 38857 39837 41846 49322 49593 62769 73983 77714 79674 92953 99186 115717 116571 125538 147966 172627 185906 214903 231434 233142 271999 278859 345254 347151 429806 517881 543998 557718 644709 694302 810019 815997 1035762 1208389 1289418 1504321 1620038 1631994 2416778 2430057 3008642 3625167 4512963 4860114 5670133 7250334 9025926 10530247 11340266 17010399 21060494 31590741 34020798 63181482 73711729 147423458 221135187 442270374