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3224324340 = 2233510975443
BaseRepresentation
bin1100000000101111…
…0100100011110100
322022201010122111000
43000023310203310
523100411334330
61251540243300
7142621206336
oct30013644364
98281118430
103224324340
111405057666
1275b9a0530
133c5007333
1422831b456
1513d105560
hexc02f48f4

3224324340 has 96 divisors (see below), whose sum is σ = 10042220160. Its totient is φ = 858878208.

The previous prime is 3224324297. The next prime is 3224324357. The reversal of 3224324340 is 434234223.

3224324340 is a `hidden beast` number, since 3 + 224 + 3 + 2 + 434 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 589659 + ... + 595101.

It is an arithmetic number, because the mean of its divisors is an integer number (104606460).

Almost surely, 23224324340 is an apocalyptic number.

3224324340 is a gapful number since it is divisible by the number (30) 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 3224324340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5021110080).

3224324340 is an abundant number, since it is smaller than the sum of its proper divisors (6817895820).

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

3224324340 is a wasteful number, since it uses less digits than its factorization.

3224324340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6558 (or 6550 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3224324340 is about 56783.1342917948. The cubic root of 3224324340 is about 1477.3369966275.

Adding to 3224324340 its reverse (434234223), we get a palindrome (3658558563).

The spelling of 3224324340 in words is "three billion, two hundred twenty-four million, three hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1097 2194 3291 4388 5443 5485 6582 9873 10886 10970 13164 16329 16455 19746 21772 21940 27215 29619 32658 32910 39492 48987 49365 54430 59238 65316 65820 81645 97974 98730 108860 118476 146961 148095 163290 195948 197460 244935 293922 296190 326580 489870 587844 592380 734805 979740 1469610 2939220 5970971 11941942 17912913 23883884 29854855 35825826 53738739 59709710 71651652 89564565 107477478 119419420 161216217 179129130 214954956 268693695 322432434 358258260 537387390 644864868 806081085 1074774780 1612162170 3224324340