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422381934 = 2321361127233
BaseRepresentation
bin11001001011010…
…000100101101110
31002102210020002100
4121023100211232
51331112210214
6105525035530
713316121132
oct3113204556
91072706070
10422381934
111a7472887
12b9555ba6
1369679c50
144014d3c2
1527135309
hex192d096e

422381934 has 96 divisors (see below), whose sum is σ = 1013935104. Its totient is φ = 126282240.

The previous prime is 422381929. The next prime is 422381969. The reversal of 422381934 is 439183224.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1812682 + ... + 1812914.

It is an arithmetic number, because the mean of its divisors is an integer number (10561824).

Almost surely, 2422381934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422381934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506967552).

422381934 is an abundant number, since it is smaller than the sum of its proper divisors (591553170).

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

422381934 is a wasteful number, since it uses less digits than its factorization.

422381934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 439 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 422381934 is about 20551.9326098545. The cubic root of 422381934 is about 750.3002850891.

The spelling of 422381934 in words is "four hundred twenty-two million, three hundred eighty-one thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 127 183 233 234 254 366 381 466 549 699 762 793 1098 1143 1398 1586 1651 2097 2286 2379 3029 3302 4194 4758 4953 6058 7137 7747 9087 9906 14213 14274 14859 15494 18174 23241 27261 28426 29591 29718 42639 46482 54522 59182 69723 85278 88773 100711 127917 139446 177546 184769 201422 255834 266319 302133 369538 384683 532638 554307 604266 769366 906399 1108614 1154049 1662921 1805051 1812798 2308098 3325842 3462147 3610102 5415153 6924294 10830306 16245459 23465663 32490918 46931326 70396989 140793978 211190967 422381934