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1463344460 = 225315094637
BaseRepresentation
bin101011100111000…
…1101110101001100
310202222112121012222
41113032031311030
510444104010320
6401112314512
751156136244
oct12716156514
93688477188
101463344460
11691024396
1234a0a2a38
131a4229ac6
14dc4c0b24
1588708825
hex5738dd4c

1463344460 has 48 divisors (see below), whose sum is σ = 3179070720. Its totient is φ = 565221120.

The previous prime is 1463344423. The next prime is 1463344471. The reversal of 1463344460 is 644433641.

It is a super-2 number, since 2×14633444602 = 4282754017225383200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1463344460.

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 15 ways as a sum of consecutive naturals, for example, 313262 + ... + 317898.

It is an arithmetic number, because the mean of its divisors is an integer number (66230640).

Almost surely, 21463344460 is an apocalyptic number.

1463344460 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 1463344460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589535360).

1463344460 is an abundant number, since it is smaller than the sum of its proper divisors (1715726260).

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

1463344460 is a wasteful number, since it uses less digits than its factorization.

1463344460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5186 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The square root of 1463344460 is about 38253.6855740725. The cubic root of 1463344460 is about 1135.3127693471.

The spelling of 1463344460 in words is "one billion, four hundred sixty-three million, three hundred forty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 509 620 1018 2036 2545 4637 5090 9274 10180 15779 18548 23185 31558 46370 63116 78895 92740 143747 157790 287494 315580 574988 718735 1437470 2360233 2874940 4720466 9440932 11801165 23602330 47204660 73167223 146334446 292668892 365836115 731672230 1463344460