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3850429440 = 2103511131753
BaseRepresentation
bin1110010110000000…
…1110010000000000
3100221100021002012210
43211200032100000
530341202220230
61434024022120
7164263052544
oct34540162000
910840232183
103850429440
1116a65156a0
128b5601940
13494943120
1428753ba24
1517807ceb0
hexe580e400

3850429440 has 352 divisors, whose sum is σ = 14476646016. Its totient is φ = 861143040.

The previous prime is 3850429423. The next prime is 3850429459. The reversal of 3850429440 is 449240583.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2195604 + ... + 2197356.

Almost surely, 23850429440 is an apocalyptic number.

3850429440 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 3850429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238323008).

3850429440 is an abundant number, since it is smaller than the sum of its proper divisors (10626216576).

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

3850429440 is a wasteful number, since it uses less digits than its factorization.

3850429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 3850429440 is about 62051.8286595971. The cubic root of 3850429440 is about 1567.3634789744.

The spelling of 3850429440 in words is "three billion, eight hundred fifty million, four hundred twenty-nine thousand, four hundred forty".