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19870344 = 23321322371
BaseRepresentation
bin100101111001…
…1001010001000
31101101111222200
41023303022020
520041322334
61545520200
7330616014
oct113631210
941344880
1019870344
111024197a
1267a3060
134169400
1428d3544
151b27799
hex12f3288

19870344 has 144 divisors (see below), whose sum is σ = 61663680. Its totient is φ = 5765760.

The previous prime is 19870309. The next prime is 19870351. The reversal of 19870344 is 44307891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19870299 and 19870308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 279829 + ... + 279899.

It is an arithmetic number, because the mean of its divisors is an integer number (428220).

Almost surely, 219870344 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 19870344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30831840).

19870344 is an abundant number, since it is smaller than the sum of its proper divisors (41793336).

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

19870344 is a wasteful number, since it uses less digits than its factorization.

19870344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 19870344 is about 4457.6164034156. The cubic root of 19870344 is about 270.8539219904.

The spelling of 19870344 in words is "nineteen million, eight hundred seventy thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 36 39 46 52 69 71 72 78 92 104 117 138 142 156 169 184 207 213 234 276 284 299 312 338 414 426 468 507 552 568 598 639 676 828 852 897 923 936 1014 1196 1278 1352 1521 1633 1656 1704 1794 1846 2028 2392 2556 2691 2769 3042 3266 3588 3692 3887 4056 4899 5112 5382 5538 6084 6532 7176 7384 7774 8307 9798 10764 11076 11661 11999 12168 13064 14697 15548 16614 19596 21229 21528 22152 23322 23998 29394 31096 33228 34983 35997 39192 42458 46644 47996 58788 63687 66456 69966 71994 84916 93288 95992 107991 117576 127374 139932 143988 169832 191061 215982 254748 275977 279864 287976 382122 431964 509496 551954 764244 827931 863928 1103908 1528488 1655862 2207816 2483793 3311724 4967586 6623448 9935172 19870344