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1334325420 = 2233524110253
BaseRepresentation
bin100111110001000…
…0011000010101100
310102222202202101000
41033202003002230
510213041403140
6340223120300
745031402401
oct11742030254
93388682330
101334325420
1162521248a
12312a43090
1318359598c
14c92d82a8
157c220a30
hex4f8830ac

1334325420 has 96 divisors (see below), whose sum is σ = 4168866240. Its totient is φ = 354309120.

The previous prime is 1334325401. The next prime is 1334325431. The reversal of 1334325420 is 245234331.

1334325420 is a `hidden beast` number, since 1 + 334 + 325 + 4 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125014 + ... + 135266.

It is an arithmetic number, because the mean of its divisors is an integer number (43425690).

Almost surely, 21334325420 is an apocalyptic number.

1334325420 is a gapful number since it is divisible by the number (10) 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 1334325420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084433120).

1334325420 is an abundant number, since it is smaller than the sum of its proper divisors (2834540820).

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

1334325420 is a wasteful number, since it uses less digits than its factorization.

1334325420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10512 (or 10504 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 1334325420 is about 36528.4193471330. The cubic root of 1334325420 is about 1100.9153317869.

Adding to 1334325420 its reverse (245234331), we get a palindrome (1579559751).

The spelling of 1334325420 in words is "one billion, three hundred thirty-four million, three hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 241 270 482 540 723 964 1205 1446 2169 2410 2892 3615 4338 4820 6507 7230 8676 10253 10845 13014 14460 20506 21690 26028 30759 32535 41012 43380 51265 61518 65070 92277 102530 123036 130140 153795 184554 205060 276831 307590 369108 461385 553662 615180 922770 1107324 1384155 1845540 2470973 2768310 4941946 5536620 7412919 9883892 12354865 14825838 22238757 24709730 29651676 37064595 44477514 49419460 66716271 74129190 88955028 111193785 133432542 148258380 222387570 266865084 333581355 444775140 667162710 1334325420