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3454045340 = 2251917352541
BaseRepresentation
bin1100110111100000…
…1000110010011100
322220201101200110012
43031320020302130
524033213422330
61330424102352
7151410621014
oct31570106234
98821350405
103454045340
11151279a429
128049049b8
13430799615
1424aa38c44
15153380c95
hexcde08c9c

3454045340 has 48 divisors (see below), whose sum is σ = 7679538720. Its totient is φ = 1301310720.

The previous prime is 3454045307. The next prime is 3454045381. The reversal of 3454045340 is 435404543.

It is a junction number, because it is equal to n+sod(n) for n = 3454045297 and 3454045306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39470 + ... + 92010.

It is an arithmetic number, because the mean of its divisors is an integer number (159990390).

Almost surely, 23454045340 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 3454045340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3839769360).

3454045340 is an abundant number, since it is smaller than the sum of its proper divisors (4225493380).

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

3454045340 is a wasteful number, since it uses less digits than its factorization.

3454045340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52742 (or 52740 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The square root of 3454045340 is about 58771.1267545553. The cubic root of 3454045340 is about 1511.6201693974.

Adding to 3454045340 its reverse (435404543), we get a palindrome (3889449883).

The spelling of 3454045340 in words is "three billion, four hundred fifty-four million, forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 173 190 346 380 692 865 1730 3287 3460 6574 13148 16435 32870 52541 65740 105082 210164 262705 525410 998279 1050820 1996558 3993116 4991395 9089593 9982790 18179186 19965580 36358372 45447965 90895930 172702267 181791860 345404534 690809068 863511335 1727022670 3454045340