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3227334740 = 2257174433061
BaseRepresentation
bin1100000001011101…
…0011100001010100
322022220210120222022
43000113103201110
523102144202430
61252124552312
7142655615120
oct30027234124
98286716868
103227334740
1114068233a3
127609b2698
133c581c636
142288a2580
1513d4ec4e5
hexc05d3854

3227334740 has 96 divisors (see below), whose sum is σ = 8222425344. Its totient is φ = 1038735360.

The previous prime is 3227334739. The next prime is 3227334743. The reversal of 3227334740 is 474337223.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3227334740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3227334743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1052810 + ... + 1055870.

It is an arithmetic number, because the mean of its divisors is an integer number (85650264).

Almost surely, 23227334740 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 3227334740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111212672).

3227334740 is an abundant number, since it is smaller than the sum of its proper divisors (4995090604).

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

3227334740 is a wasteful number, since it uses less digits than its factorization.

3227334740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 35.

The square root of 3227334740 is about 56809.6359784148. The cubic root of 3227334740 is about 1477.7966269709.

The spelling of 3227334740 in words is "three billion, two hundred twenty-seven million, three hundred thirty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 443 476 595 886 1190 1772 2215 2380 3061 3101 4430 6122 6202 7531 8860 12244 12404 15062 15305 15505 21427 30124 30610 31010 37655 42854 52037 52717 61220 62020 75310 85708 104074 105434 107135 150620 208148 210868 214270 260185 263585 364259 428540 520370 527170 728518 1040740 1054340 1356023 1457036 1821295 2712046 3642590 5424092 6780115 7285180 9492161 13560230 18984322 23052391 27120460 37968644 46104782 47460805 92209564 94921610 115261955 161366737 189843220 230523910 322733474 461047820 645466948 806833685 1613667370 3227334740