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19034064 = 2432723821
BaseRepresentation
bin100100010011…
…0111111010000
31022211000211100
41020212333100
514333042224
61515544400
7320533620
oct110467720
938730740
1019034064
11a820635
12645b100
133c3587a
142756880
151a0eac9
hex1226fd0

19034064 has 120 divisors (see below), whose sum is σ = 63603072. Its totient is φ = 5195520.

The previous prime is 19034053. The next prime is 19034069. The reversal of 19034064 is 46043091.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19034069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22774 + ... + 23594.

Almost surely, 219034064 is an apocalyptic number.

19034064 is a gapful number since it is divisible by the number (14) 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 19034064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31801536).

19034064 is an abundant number, since it is smaller than the sum of its proper divisors (44569008).

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

19034064 is a wasteful number, since it uses less digits than its factorization.

19034064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 19034064 is about 4362.8046025464. The cubic root of 19034064 is about 266.9995370947. Note that the first 3 decimals are identical.

The spelling of 19034064 in words is "nineteen million, thirty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 821 828 966 1008 1104 1288 1449 1642 1656 1932 2463 2576 2898 3284 3312 3864 4926 5747 5796 6568 7389 7728 9852 11494 11592 13136 14778 17241 18883 19704 22988 23184 29556 34482 37766 39408 45976 51723 56649 59112 68964 75532 91952 103446 113298 118224 132181 137928 151064 169947 206892 226596 264362 275856 302128 339894 396543 413784 453192 528724 679788 793086 827568 906384 1057448 1189629 1359576 1586172 2114896 2379258 2719152 3172344 4758516 6344688 9517032 19034064