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3640491324 = 2233311915693
BaseRepresentation
bin1101100011111101…
…0111110100111100
3100101201020010021000
43120333113310330
524423431210244
61401124210300
7156133444221
oct33077276474
910351203230
103640491324
1115a8a65018
12857239990
134602b94a2
142676cd948
1516490e169
hexd8fd7d3c

3640491324 has 96 divisors (see below), whose sum is σ = 9795502080. Its totient is φ = 1167998400.

The previous prime is 3640491319. The next prime is 3640491329. The reversal of 3640491324 is 4231940463.

It is a happy number.

3640491324 is a `hidden beast` number, since 3 + 640 + 4 + 9 + 1 + 3 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3640491319) and next prime (3640491329).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3640491329) 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, 636622 + ... + 642314.

It is an arithmetic number, because the mean of its divisors is an integer number (102036480).

Almost surely, 23640491324 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 3640491324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897751040).

3640491324 is an abundant number, since it is smaller than the sum of its proper divisors (6155010756).

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

3640491324 is a wasteful number, since it uses less digits than its factorization.

3640491324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5928 (or 5920 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3640491324 is about 60336.4841866014. The cubic root of 3640491324 is about 1538.3435447216.

The spelling of 3640491324 in words is "three billion, six hundred forty million, four hundred ninety-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 191 279 372 382 558 573 764 837 1116 1146 1674 1719 2292 3348 3438 5157 5693 5921 6876 10314 11386 11842 17079 17763 20628 22772 23684 34158 35526 51237 53289 68316 71052 102474 106578 153711 159867 176483 204948 213156 307422 319734 352966 529449 614844 639468 705932 1058898 1087363 1588347 2117796 2174726 3176694 3262089 4349452 4765041 6353388 6524178 9530082 9786267 13048356 19060164 19572534 29358801 33708253 39145068 58717602 67416506 101124759 117435204 134833012 202249518 303374277 404499036 606748554 910122831 1213497108 1820245662 3640491324