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374253262240 = 2551113119313711
BaseRepresentation
bin1010111001000110011…
…10111001010110100000
31022210000100112120112211
411130203032321112200
522112432313342430
6443532442131504
736016226145424
oct5344316712640
91283010476484
10374253262240
111347a1234230
12606487b0b94
13293a44b0180
1414184996b84
159b063c072a
hex57233b95a0

374253262240 has 192 divisors, whose sum is σ = 1039695616512. Its totient is φ = 125509017600.

The previous prime is 374253262219. The next prime is 374253262247. The reversal of 374253262240 is 42262352473.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 374253262193 and 374253262202.

It is not an unprimeable number, because it can be changed into a prime (374253262247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27288985 + ... + 27302695.

It is an arithmetic number, because the mean of its divisors is an integer number (5415081336).

Almost surely, 2374253262240 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 374253262240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519847808256).

374253262240 is an abundant number, since it is smaller than the sum of its proper divisors (665442354272).

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

374253262240 is a wasteful number, since it uses less digits than its factorization.

374253262240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14943 (or 14935 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 40.

The spelling of 374253262240 in words is "three hundred seventy-four billion, two hundred fifty-three million, two hundred sixty-two thousand, two hundred forty".