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3226770324 = 2233107293953
BaseRepresentation
bin1100000001010100…
…1001101110010100
322022212201220202000
43000111021232110
523102023122244
61252104515300
7142651044441
oct30025115624
98285656660
103226770324
111406478338
1276077bb30
133c568276b
142287969c8
1513d43a169
hexc0549b94

3226770324 has 96 divisors (see below), whose sum is σ = 8481594240. Its totient is φ = 1060786944.

The previous prime is 3226770319. The next prime is 3226770341. The reversal of 3226770324 is 4230776223.

3226770324 is a `hidden beast` number, since 3 + 2 + 267 + 70 + 324 = 666.

It is a super-3 number, since 3×32267703243 (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 3385432 + ... + 3386384.

It is an arithmetic number, because the mean of its divisors is an integer number (88349940).

Almost surely, 23226770324 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 3226770324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240797120).

3226770324 is an abundant number, since it is smaller than the sum of its proper divisors (5254823916).

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

3226770324 is a wasteful number, since it uses less digits than its factorization.

3226770324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 3226770324 is about 56804.6681532425. The cubic root of 3226770324 is about 1477.7104732500.

The spelling of 3226770324 in words is "three billion, two hundred twenty-six million, seven hundred seventy thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 293 321 428 586 642 879 953 963 1172 1284 1758 1906 1926 2637 2859 2889 3516 3812 3852 5274 5718 5778 7911 8577 10548 11436 11556 15822 17154 25731 31351 31644 34308 51462 62702 94053 101971 102924 125404 188106 203942 279229 282159 305913 376212 407884 558458 564318 611826 837687 846477 917739 1116916 1128636 1223652 1675374 1692954 1835478 2513061 2753217 3350748 3385908 3670956 5026122 5506434 7539183 10052244 11012868 15078366 29877503 30156732 59755006 89632509 119510012 179265018 268897527 358530036 537795054 806692581 1075590108 1613385162 3226770324