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1332239040 = 263251123823
BaseRepresentation
bin100111101101000…
…0101101011000000
310102211211202101200
41033122011223000
510212023122130
6340110301200
745004562556
oct11732055300
93384752350
101332239040
11624017a00
123121b7800
13183015132
14c8d13bd6
157be5c760
hex4f685ac0

1332239040 has 252 divisors, whose sum is σ = 5038112352. Its totient is φ = 322882560.

The previous prime is 1332239039. The next prime is 1332239047. The reversal of 1332239040 is 409322331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1332238995 and 1332239013.

It is not an unprimeable number, because it can be changed into a prime (1332239047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 346569 + ... + 350391.

Almost surely, 21332239040 is an apocalyptic number.

1332239040 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 1332239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519056176).

1332239040 is an abundant number, since it is smaller than the sum of its proper divisors (3705873312).

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

1332239040 is a wasteful number, since it uses less digits than its factorization.

1332239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 1332239040 is about 36499.8498627049. The cubic root of 1332239040 is about 1100.3412274713.

The spelling of 1332239040 in words is "one billion, three hundred thirty-two million, two hundred thirty-nine thousand, forty".