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385642620 = 2234511171967
BaseRepresentation
bin10110111111000…
…111000001111100
3222212122200020000
4112333013001330
51242211030440
6102133354300
712361623336
oct2677070174
9885580200
10385642620
1118875a010
12a9198990
1361b855cc
1439308456
1523cc9730
hex16fc707c

385642620 has 480 divisors, whose sum is σ = 1492888320. Its totient is φ = 82114560.

The previous prime is 385642613. The next prime is 385642627. The reversal of 385642620 is 26246583.

385642620 is a `hidden beast` number, since 3 + 8 + 5 + 642 + 6 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (385642613) and next prime (385642627).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385642627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5755827 + ... + 5755893.

It is an arithmetic number, because the mean of its divisors is an integer number (3110184).

Almost surely, 2385642620 is an apocalyptic number.

385642620 is a gapful number since it is divisible by the number (30) 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 385642620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746444160).

385642620 is an abundant number, since it is smaller than the sum of its proper divisors (1107245700).

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

385642620 is a wasteful number, since it uses less digits than its factorization.

385642620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 385642620 is about 19637.7855167022. The cubic root of 385642620 is about 727.8831651453.

The spelling of 385642620 in words is "three hundred eighty-five million, six hundred forty-two thousand, six hundred twenty".