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3376041984 = 212337389
BaseRepresentation
bin1100100100111010…
…0101000000000000
322201021121200222000
43021032211000000
523403231320414
61315000144000
7146442612000
oct31116450000
98637550860
103376041984
111482762347
127a2768000
1341a587ca3
14240532000
1514b5c3b09
hexc93a5000

3376041984 has 416 divisors, whose sum is σ = 11795040000. Its totient is φ = 953745408.

The previous prime is 3376041971. The next prime is 3376042001. The reversal of 3376041984 is 4891406733.

3376041984 is a `hidden beast` number, since 3 + 37 + 604 + 1 + 9 + 8 + 4 = 666.

It is a super-2 number, since 2×33760419842 = 22795318955461312512, which contains 22 as substring.

It is a congruent number.

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, 37933012 + ... + 37933100.

Almost surely, 23376041984 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 3376041984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5897520000).

3376041984 is an abundant number, since it is smaller than the sum of its proper divisors (8418998016).

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

3376041984 is an frugal number, since it uses more digits than its factorization.

3376041984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3376041984 is about 58103.7174714321. The cubic root of 3376041984 is about 1500.1543521164.

The spelling of 3376041984 in words is "three billion, three hundred seventy-six million, forty-one thousand, nine hundred eighty-four".