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742326480 = 243257253397
BaseRepresentation
bin101100001111110…
…000000011010000
31220201211002111100
4230033300003100
53010013421410
6201354344400
724252446100
oct5417600320
91821732440
10742326480
11351029965
1218872b100
13baa3bb4c
1470835200
15452838c0
hex2c3f00d0

742326480 has 360 divisors, whose sum is σ = 2962156392. Its totient is φ = 166053888.

The previous prime is 742326469. The next prime is 742326509. The reversal of 742326480 is 84623247.

742326480 is a `hidden beast` number, since 7 + 4 + 2 + 3 + 2 + 648 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 185177664 + 557148816 = 13608^2 + 23604^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1869642 + ... + 1870038.

Almost surely, 2742326480 is an apocalyptic number.

742326480 is a gapful number since it is divisible by the number (70) 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 742326480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481078196).

742326480 is an abundant number, since it is smaller than the sum of its proper divisors (2219829912).

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

742326480 is a wasteful number, since it uses less digits than its factorization.

742326480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 742326480 is about 27245.6690136249. The cubic root of 742326480 is about 905.4510658052.

The spelling of 742326480 in words is "seven hundred forty-two million, three hundred twenty-six thousand, four hundred eighty".