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4324690216 = 2372113132353
BaseRepresentation
bin1000000011100010…
…11000100100101000
3102011101200000200201
410001301120210220
532324110041331
61553045041544
7212112155200
oct40161304450
912141600621
104324690216
11191a1a1850
12a083b62b4
1353bc856c2
142d0513400
151a4a0ea61
hex101c58928

4324690216 has 96 divisors (see below), whose sum is σ = 10622465280. Its totient is φ = 1630540800.

The previous prime is 4324690211. The next prime is 4324690219. The reversal of 4324690216 is 6120964234.

It is a happy number.

It is a super-3 number, since 3×43246902163 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4324690211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117496 + ... + 149848.

It is an arithmetic number, because the mean of its divisors is an integer number (110650680).

Almost surely, 24324690216 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 4324690216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5311232640).

4324690216 is an abundant number, since it is smaller than the sum of its proper divisors (6297775064).

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

4324690216 is a wasteful number, since it uses less digits than its factorization.

4324690216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32415 (or 32404 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 4324690216 is about 65762.3769035153. The cubic root of 4324690216 is about 1629.2397644152.

The spelling of 4324690216 in words is "four billion, three hundred twenty-four million, six hundred ninety thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 49 56 62 77 88 98 124 154 196 217 248 308 341 392 434 539 616 682 868 1078 1364 1519 1736 2156 2387 2728 3038 4312 4774 6076 9548 12152 16709 19096 32353 33418 64706 66836 129412 133672 226471 258824 355883 452942 711766 905884 1002943 1423532 1585297 1811768 2005886 2491181 2847064 3170594 4011772 4982362 6341188 7020601 8023544 9964724 11032373 12682376 14041202 17438267 19929448 22064746 28082404 34876534 44129492 49144207 56164808 69753068 77226611 88258984 98288414 139506136 154453222 196576828 308906444 393153656 540586277 617812888 1081172554 2162345108 4324690216