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1348592640 = 21035194621
BaseRepresentation
bin101000001100001…
…1110010000000000
310110222121121022120
41100120132100000
510230214431030
6341453004240
745263563653
oct12030362000
93428547276
101348592640
1163227767a
12317783680
1318651c915
14cb16d89a
157d5dd010
hex5061e400

1348592640 has 176 divisors, whose sum is σ = 4541392320. Its totient is φ = 340623360.

The previous prime is 1348592639. The next prime is 1348592657. The reversal of 1348592640 is 462958431.

It is a junction number, because it is equal to n+sod(n) for n = 1348592592 and 1348592601.

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, 289530 + ... + 294150.

Almost surely, 21348592640 is an apocalyptic number.

1348592640 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 1348592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270696160).

1348592640 is an abundant number, since it is smaller than the sum of its proper divisors (3192799680).

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

1348592640 is a wasteful number, since it uses less digits than its factorization.

1348592640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4668 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 1348592640 is about 36723.1894039720. The cubic root of 1348592640 is about 1104.8252598663.

The spelling of 1348592640 in words is "one billion, three hundred forty-eight million, five hundred ninety-two thousand, six hundred forty".