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2420630304 = 25343619613
BaseRepresentation
bin1001000001000111…
…1110001100100000
320020200211202112020
42100101332030200
514424140132204
61040110301440
7113662006131
oct22021761440
96220752466
102420630304
111032423414
125767b7880
132c765cc31
1418d6adc88
15e279dbd9
hex9047e320

2420630304 has 96 divisors (see below), whose sum is σ = 6609201984. Its totient is φ = 775111680.

The previous prime is 2420630297. The next prime is 2420630321. The reversal of 2420630304 is 4030360242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 247002 + ... + 256614.

It is an arithmetic number, because the mean of its divisors is an integer number (68845854).

Almost surely, 22420630304 is an apocalyptic number.

2420630304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420630304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3304600992).

2420630304 is an abundant number, since it is smaller than the sum of its proper divisors (4188571680).

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

2420630304 is a wasteful number, since it uses less digits than its factorization.

2420630304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9730 (or 9722 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2420630304 is about 49199.9014633160. The cubic root of 2420630304 is about 1342.6912394323.

Adding to 2420630304 its reverse (4030360242), we get a palindrome (6450990546).

The spelling of 2420630304 in words is "two billion, four hundred twenty million, six hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 61 86 96 122 129 172 183 244 258 344 366 488 516 688 732 976 1032 1376 1464 1952 2064 2623 2928 4128 5246 5856 7869 9613 10492 15738 19226 20984 28839 31476 38452 41968 57678 62952 76904 83936 115356 125904 153808 230712 251808 307616 413359 461424 586393 826718 922848 1172786 1240077 1653436 1759179 2345572 2480154 3306872 3518358 4691144 4960308 6613744 7036716 9382288 9920616 13227488 14073432 18764576 19841232 25214899 28146864 39682464 50429798 56293728 75644697 100859596 151289394 201719192 302578788 403438384 605157576 806876768 1210315152 2420630304