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1230936448 = 277323253
BaseRepresentation
bin100100101011110…
…1001100110000000
310011210020001100211
41021113221212000
510010104431243
6322051123504
742334534000
oct11127514600
93153201324
101230936448
11581916855
122a42a3594
13168036781
14b96a4000
15730ebd9d
hex495e9980

1230936448 has 192 divisors, whose sum is σ = 3045924000. Its totient is φ = 495086592.

The previous prime is 1230936409. The next prime is 1230936449. The reversal of 1230936448 is 8446390321.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1230936448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230936449) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 23225190 + ... + 23225242.

Almost surely, 21230936448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230936448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522962000).

1230936448 is an abundant number, since it is smaller than the sum of its proper divisors (1814987552).

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

1230936448 is an frugal number, since it uses more digits than its factorization.

1230936448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 1230936448 is about 35084.7039035532. The cubic root of 1230936448 is about 1071.7131110219.

The spelling of 1230936448 in words is "one billion, two hundred thirty million, nine hundred thirty-six thousand, four hundred forty-eight".