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3487034628 = 22327211217312
BaseRepresentation
bin1100111111010111…
…1110110100000100
3100000000110201020200
43033311332310010
524120140102003
61334003130500
7152261206500
oct31765766404
910000421220
103487034628
11152a381800
12813973a30
1343757a0cc
14251185300
151561ea6a3
hexcfd7ed04

3487034628 has 486 divisors, whose sum is σ = 12330754254. Its totient is φ = 824947200.

The previous prime is 3487034627. The next prime is 3487034651. The reversal of 3487034628 is 8264307843.

It can be written as a sum of positive squares in only one way, i.e., 3281914944 + 205119684 = 57288^2 + 14322^2 .

It is not an unprimeable number, because it can be changed into a prime (3487034627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 112484973 + ... + 112485003.

Almost surely, 23487034628 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 3487034628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6165377127).

3487034628 is an abundant number, since it is smaller than the sum of its proper divisors (8843719626).

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

3487034628 is a wasteful number, since it uses less digits than its factorization.

3487034628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3487034628 is about 59051.1187700961. The cubic root of 3487034628 is about 1516.4173801986.

The spelling of 3487034628 in words is "three billion, four hundred eighty-seven million, thirty-four thousand, six hundred twenty-eight".