Search a number
-
+
2420353432 = 23735211693
BaseRepresentation
bin1001000001000011…
…1010100110011000
320020200022200201201
42100100322212120
514424102302212
61040100323544
7113656444000
oct22020724630
96220280651
102420353432
1110322543a2
125766a35b4
132c7593bc3
1418d63b000
15e2746b57
hex9043a998

2420353432 has 64 divisors (see below), whose sum is σ = 5305608000. Its totient is φ = 1034691840.

The previous prime is 2420353379. The next prime is 2420353447. The reversal of 2420353432 is 2343530242.

It is a super-2 number, since 2×24203534322 = 11716221471588357248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2420353432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1428778 + ... + 1430470.

It is an arithmetic number, because the mean of its divisors is an integer number (82900125).

Almost surely, 22420353432 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 2420353432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652804000).

2420353432 is an abundant number, since it is smaller than the sum of its proper divisors (2885254568).

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

2420353432 is a wasteful number, since it uses less digits than its factorization.

2420353432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

The square root of 2420353432 is about 49197.0876373795. The cubic root of 2420353432 is about 1342.6400450825.

Adding to 2420353432 its reverse (2343530242), we get a palindrome (4763883674).

The spelling of 2420353432 in words is "two billion, four hundred twenty million, three hundred fifty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 521 686 1042 1372 1693 2084 2744 3386 3647 4168 6772 7294 11851 13544 14588 23702 25529 29176 47404 51058 82957 94808 102116 165914 178703 204232 331828 357406 580699 663656 714812 882053 1161398 1429624 1764106 2322796 3528212 4645592 6174371 7056424 12348742 24697484 43220597 49394968 86441194 172882388 302544179 345764776 605088358 1210176716 2420353432