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3458483952 = 2437112257331
BaseRepresentation
bin1100111000100100…
…0100011011110000
322221000202012002020
43032021010123300
524040332441302
61331103151440
7151463425410
oct31611043360
98830665066
103458483952
111515251200
128062a5580
13431691a11
1424b472640
1515395aebc
hexce2446f0

3458483952 has 240 divisors, whose sum is σ = 11301110016. Its totient is φ = 892108800.

The previous prime is 3458483933. The next prime is 3458483981. The reversal of 3458483952 is 2593848543.

It is a happy number.

It is a super-2 number, since 2×34584839522 = 23922222492483076608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3458483895 and 3458483904.

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, 10448427 + ... + 10448757.

Almost surely, 23458483952 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 3458483952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5650555008).

3458483952 is an abundant number, since it is smaller than the sum of its proper divisors (7842626064).

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

3458483952 is a wasteful number, since it uses less digits than its factorization.

3458483952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 611 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 51.

The square root of 3458483952 is about 58808.8764728591. The cubic root of 3458483952 is about 1512.2673934305.

The spelling of 3458483952 in words is "three billion, four hundred fifty-eight million, four hundred eighty-three thousand, nine hundred fifty-two".