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2314403424 = 253241196003
BaseRepresentation
bin1000100111110010…
…1111111001100000
312222021221212122100
42021330233321200
514214441402144
61021353410400
7111232050564
oct21174577140
95867855570
102314403424
11a88469603
12547109a00
132ab6490a8
1417d53b6a4
15d82b9269
hex89f2fe60

2314403424 has 72 divisors (see below), whose sum is σ = 6742145592. Its totient is φ = 752647680.

The previous prime is 2314403407. The next prime is 2314403453. The reversal of 2314403424 is 4243044132.

It is a happy number.

2314403424 is a `hidden beast` number, since 2 + 314 + 4 + 0 + 342 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86194 + ... + 109809.

It is an arithmetic number, because the mean of its divisors is an integer number (93640911).

Almost surely, 22314403424 is an apocalyptic number.

2314403424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2314403424 is an abundant number, since it is smaller than the sum of its proper divisors (4427742168).

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

2314403424 is a wasteful number, since it uses less digits than its factorization.

2314403424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196060 (or 196049 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2314403424 is about 48108.2469437414. The cubic root of 2314403424 is about 1322.7558402652.

Adding to 2314403424 its reverse (4243044132), we get a palindrome (6557447556).

The spelling of 2314403424 in words is "two billion, three hundred fourteen million, four hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 196003 392006 588009 784012 1176018 1568024 1764027 2352036 3136048 3528054 4704072 6272096 7056108 8036123 9408144 14112216 16072246 18816288 24108369 28224432 32144492 48216738 56448864 64288984 72325107 96433476 128577968 144650214 192866952 257155936 289300428 385733904 578600856 771467808 1157201712 2314403424