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3351772480 = 265721811181
BaseRepresentation
bin1100011111000111…
…1111110101000000
322122120221200110111
43013301333311000
523331023204410
61312332041104
7146026411300
oct30761776500
98576850414
103351772480
11146aa96301
12796603194
1341553b434
1423b215600
151493ccb8a
hexc7c7fd40

3351772480 has 168 divisors, whose sum is σ = 9343695816. Its totient is φ = 1141862400.

The previous prime is 3351772447. The next prime is 3351772507. The reversal of 3351772480 is 842771533.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 171714816 + 3180057664 = 13104^2 + 56392^2 .

It is a super-2 number, since 2×33517724802 = 22468757515370700800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2837490 + ... + 2838670.

It is an arithmetic number, because the mean of its divisors is an integer number (55617237).

Almost surely, 23351772480 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 3351772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671847908).

3351772480 is an abundant number, since it is smaller than the sum of its proper divisors (5991923336).

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

3351772480 is a wasteful number, since it uses less digits than its factorization.

3351772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 3351772480 is about 57894.4943841813. The cubic root of 3351772480 is about 1496.5509614263.

The spelling of 3351772480 in words is "three billion, three hundred fifty-one million, seven hundred seventy-two thousand, four hundred eighty".