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1030648320 = 29335133137
BaseRepresentation
bin111101011011100…
…111001000000000
32122211100100201000
4331123213020000
54102321221240
6250134212000
734353236412
oct7533471000
92584310630
101030648320
11489857379
122491b4000
131356ab2a0
149ac489b2
1560737430
hex3d6e7200

1030648320 has 640 divisors, whose sum is σ = 4179732480. Its totient is φ = 238878720.

The previous prime is 1030648319. The next prime is 1030648321. The reversal of 1030648320 is 238460301.

It is a happy number.

1030648320 is a `hidden beast` number, since 10 + 3 + 0 + 648 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1030648319) and next prime (1030648321).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (1030648321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27855342 + ... + 27855378.

It is an arithmetic number, because the mean of its divisors is an integer number (6530832).

Almost surely, 21030648320 is an apocalyptic number.

1030648320 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 1030648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089866240).

1030648320 is an abundant number, since it is smaller than the sum of its proper divisors (3149084160).

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

1030648320 is a wasteful number, since it uses less digits than its factorization.

1030648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1030648320 is about 32103.7119349149. The cubic root of 1030648320 is about 1010.1134793907.

The spelling of 1030648320 in words is "one billion, thirty million, six hundred forty-eight thousand, three hundred twenty".