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1221346320 = 243537791741
BaseRepresentation
bin100100011001100…
…0100010000010000
310011010011211011220
41020303010100100
510000131040240
6321105405040
742160162305
oct11063042020
93133154156
101221346320
11577466627
122a1039780
1316605963c
14b82c90ac
15723555d0
hex48cc4410

1221346320 has 160 divisors (see below), whose sum is σ = 3939985920. Its totient is φ = 312698880.

The previous prime is 1221346319. The next prime is 1221346327. The reversal of 1221346320 is 236431221.

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

It is not an unprimeable number, because it can be changed into a prime (1221346327) 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, 700650 + ... + 702390.

It is an arithmetic number, because the mean of its divisors is an integer number (24624912).

Almost surely, 21221346320 is an apocalyptic number.

1221346320 is a gapful number since it is divisible by the number (10) 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 1221346320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969992960).

1221346320 is an abundant number, since it is smaller than the sum of its proper divisors (2718639600).

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

1221346320 is a wasteful number, since it uses less digits than its factorization.

1221346320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1221346320 is about 34947.7655938116. The cubic root of 1221346320 is about 1068.9226411030.

Adding to 1221346320 its reverse (236431221), we get a palindrome (1457777541).

The spelling of 1221346320 in words is "one billion, two hundred twenty-one million, three hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 79 80 111 120 148 158 185 222 237 240 296 316 370 395 444 474 555 592 632 740 790 888 948 1110 1185 1264 1480 1580 1741 1776 1896 2220 2370 2923 2960 3160 3482 3792 4440 4740 5223 5846 6320 6964 8705 8769 8880 9480 10446 11692 13928 14615 17410 17538 18960 20892 23384 26115 27856 29230 34820 35076 41784 43845 46768 52230 58460 64417 69640 70152 83568 87690 104460 116920 128834 137539 139280 140304 175380 193251 208920 233840 257668 275078 322085 350760 386502 412617 417840 515336 550156 644170 687695 701520 773004 825234 966255 1030672 1100312 1288340 1375390 1546008 1650468 1932510 2063085 2200624 2576680 2750780 3092016 3300936 3865020 4126170 5088943 5153360 5501560 6601872 7730040 8252340 10177886 11003120 15266829 15460080 16504680 20355772 25444715 30533658 33009360 40711544 50889430 61067316 76334145 81423088 101778860 122134632 152668290 203557720 244269264 305336580 407115440 610673160 1221346320