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3224313420 = 223523591992
BaseRepresentation
bin1100000000101111…
…0001111001001100
322022201010002111120
43000023301321030
523100411012140
61251540120540
7142621132446
oct30013617114
98281102446
103224313420
11140504a439
1275b996150
133c5002383
14228317496
1513d1021d0
hexc02f1e4c

3224313420 has 144 divisors (see below), whose sum is σ = 9628657920. Its totient is φ = 804431232.

The previous prime is 3224313403. The next prime is 3224313437. The reversal of 3224313420 is 243134223.

It is an interprime number because it is at equal distance from previous prime (3224313403) and next prime (3224313437).

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, 16202481 + ... + 16202679.

It is an arithmetic number, because the mean of its divisors is an integer number (66865680).

Almost surely, 23224313420 is an apocalyptic number.

3224313420 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 3224313420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814328960).

3224313420 is an abundant number, since it is smaller than the sum of its proper divisors (6404344500).

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

3224313420 is a wasteful number, since it uses less digits than its factorization.

3224313420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3224313420 is about 56783.0381364013. The cubic root of 3224313420 is about 1477.3353288323.

Adding to 3224313420 its reverse (243134223), we get a palindrome (3467447643).

The spelling of 3224313420 in words is "three billion, two hundred twenty-four million, three hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 59 60 69 92 115 118 138 177 199 230 236 276 295 345 354 398 460 590 597 690 708 796 885 995 1180 1194 1357 1380 1770 1990 2388 2714 2985 3540 3980 4071 4577 5428 5970 6785 8142 9154 11741 11940 13570 13731 16284 18308 20355 22885 23482 27140 27462 35223 39601 40710 45770 46964 54924 58705 68655 70446 79202 81420 91540 117410 118803 137310 140892 158404 176115 198005 234820 237606 270043 274620 352230 396010 475212 540086 594015 704460 792020 810129 910823 1080172 1188030 1350215 1620258 1821646 2336459 2376060 2700430 2732469 3240516 3643292 4050645 4554115 4672918 5400860 5464938 7009377 8101290 9108230 9345836 10929876 11682295 13662345 14018754 16202580 18216460 23364590 27324690 28037508 35046885 46729180 53738557 54649380 70093770 107477114 140187540 161215671 214954228 268692785 322431342 537385570 644862684 806078355 1074771140 1612156710 3224313420