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3390589048 = 2371130717929
BaseRepresentation
bin1100101000011000…
…0100100001111000
322202021222202210011
43022012010201320
523420442322143
61320240031304
7150010350160
oct31206044170
98667882704
103390589048
11148a998810
127a7602534
134205ac412
1424243b5a0
1514c9e8e9d
hexca184878

3390589048 has 64 divisors (see below), whose sum is σ = 7952313600. Its totient is φ = 1316632320.

The previous prime is 3390589043. The next prime is 3390589057. The reversal of 3390589048 is 8409850933.

It is a super-2 number, since 2×33905890482 = 22992188184835092608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3390588992 and 3390589010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3390589043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180148 + ... + 198076.

It is an arithmetic number, because the mean of its divisors is an integer number (124254900).

Almost surely, 23390589048 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 3390589048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976156800).

3390589048 is an abundant number, since it is smaller than the sum of its proper divisors (4561724552).

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

3390589048 is a wasteful number, since it uses less digits than its factorization.

3390589048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18260 (or 18256 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The square root of 3390589048 is about 58228.7647816781. The cubic root of 3390589048 is about 1502.3059418641.

The spelling of 3390589048 in words is "three billion, three hundred ninety million, five hundred eighty-nine thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 307 308 614 616 1228 2149 2456 3377 4298 6754 8596 13508 17192 17929 23639 27016 35858 47278 71716 94556 125503 143432 189112 197219 251006 394438 502012 788876 1004024 1380533 1577752 2761066 5504203 5522132 11008406 11044264 22016812 38529421 44033624 60546233 77058842 121092466 154117684 242184932 308235368 423823631 484369864 847647262 1695294524 3390589048