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3424320252 = 2233374012137
BaseRepresentation
bin1100110000011010…
…1111101011111100
322211122110111022000
43030012233223330
524003111222002
61323443022300
7150600145653
oct31406575374
98748414260
103424320252
1114a7a37541
127b696a990
1342758c802
14246adc19a
1515095d61c
hexcc1afafc

3424320252 has 96 divisors (see below), whose sum is σ = 9144824640. Its totient is φ = 1107302400.

The previous prime is 3424320223. The next prime is 3424320257. The reversal of 3424320252 is 2520234243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3424320257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1601328 + ... + 1603464.

It is an arithmetic number, because the mean of its divisors is an integer number (95258590).

Almost surely, 23424320252 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 3424320252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572412320).

3424320252 is an abundant number, since it is smaller than the sum of its proper divisors (5720504388).

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

3424320252 is a wasteful number, since it uses less digits than its factorization.

3424320252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 3424320252 is about 58517.6917863307. The cubic root of 3424320252 is about 1507.2713982212.

Adding to 3424320252 its reverse (2520234243), we get a palindrome (5944554495).

The spelling of 3424320252 in words is "three billion, four hundred twenty-four million, three hundred twenty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 401 444 666 802 999 1203 1332 1604 1998 2137 2406 3609 3996 4274 4812 6411 7218 8548 10827 12822 14436 14837 19233 21654 25644 29674 38466 43308 44511 57699 59348 76932 79069 89022 115398 133533 158138 178044 230796 237207 267066 316276 400599 474414 534132 711621 801198 856937 948828 1423242 1602396 1713874 2134863 2570811 2846484 3427748 4269726 5141622 7712433 8539452 10283244 15424866 23137299 30849732 31706669 46274598 63413338 92549196 95120007 126826676 190240014 285360021 380480028 570720042 856080063 1141440084 1712160126 3424320252