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3379320672 = 253721373757
BaseRepresentation
bin1100100101101100…
…0101011101100000
322201111210021110220
43021123011131200
523410101230142
61315154323040
7146512515600
oct31133053540
98644707426
103379320672
1114845a1702
127a3889480
1341b165440
14240b46c00
1514ba202ec
hexc96c5760

3379320672 has 288 divisors, whose sum is σ = 11279876832. Its totient is φ = 877879296.

The previous prime is 3379320617. The next prime is 3379320691. The reversal of 3379320672 is 2760239733.

It is a super-2 number, since 2×33793206722 = 22839616408413063168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4463718 + ... + 4464474.

It is an arithmetic number, because the mean of its divisors is an integer number (39166239).

Almost surely, 23379320672 is an apocalyptic number.

3379320672 is a gapful number since it is divisible by the number (32) 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 3379320672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5639938416).

3379320672 is an abundant number, since it is smaller than the sum of its proper divisors (7900556160).

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

3379320672 is a wasteful number, since it uses less digits than its factorization.

3379320672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 42.

The square root of 3379320672 is about 58131.9247229954. The cubic root of 3379320672 is about 1500.6398265980.

The spelling of 3379320672 in words is "three billion, three hundred seventy-nine million, three hundred twenty thousand, six hundred seventy-two".