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3442071360 = 263571331241
BaseRepresentation
bin1100110100101001…
…1101011101000000
322212212212100020110
43031022131131000
524022132240420
61325315311320
7151204060320
oct31512353500
98785770213
103442071360
111506a61182
128008ab540
1342b166420
142491dd280
151522b7ee0
hexcd29d740

3442071360 has 672 divisors, whose sum is σ = 14237427456. Its totient is φ = 685670400.

The previous prime is 3442071323. The next prime is 3442071377. The reversal of 3442071360 is 631702443.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83952940 + ... + 83952980.

It is an arithmetic number, because the mean of its divisors is an integer number (21186648).

Almost surely, 23442071360 is an apocalyptic number.

3442071360 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 3442071360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7118713728).

3442071360 is an abundant number, since it is smaller than the sum of its proper divisors (10795356096).

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

3442071360 is a wasteful number, since it uses less digits than its factorization.

3442071360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 3442071360 is about 58669.1687345236. The cubic root of 3442071360 is about 1509.8713923477.

The spelling of 3442071360 in words is "three billion, four hundred forty-two million, seventy-one thousand, three hundred sixty".