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740052432 = 2432717192273
BaseRepresentation
bin101100000111000…
…100110111010000
31220120112120002100
4230013010313100
53003423134212
6201233520400
724224225160
oct5407046720
91816476070
10740052432
1134a816389
12187a13100
13ba423a62
14704025a0
1544e84bdc
hex2c1c4dd0

740052432 has 240 divisors, whose sum is σ = 2639295360. Its totient is φ = 188448768.

The previous prime is 740052431. The next prime is 740052433. The reversal of 740052432 is 234250047.

It is an interprime number because it is at equal distance from previous prime (740052431) and next prime (740052433).

It is a super-2 number, since 2×7400524322 = 1095355204218229248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 740052396 and 740052405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (740052431) 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 47 ways as a sum of consecutive naturals, for example, 324448 + ... + 326720.

It is an arithmetic number, because the mean of its divisors is an integer number (10997064).

Almost surely, 2740052432 is an apocalyptic number.

740052432 is a gapful number since it is divisible by the number (72) 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 740052432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319647680).

740052432 is an abundant number, since it is smaller than the sum of its proper divisors (1899242928).

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

740052432 is a wasteful number, since it uses less digits than its factorization.

740052432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 740052432 is about 27203.9047197273. The cubic root of 740052432 is about 904.5255317423.

The spelling of 740052432 in words is "seven hundred forty million, fifty-two thousand, four hundred thirty-two".