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3145085346 = 23133110911933
BaseRepresentation
bin1011101101110110…
…0011000110100010
322010012000220000110
42323131203012202
522420120212341
61240030032150
7140636533014
oct27335430642
98105026013
103145085346
111374356197
12739348656
133b1782460
1421b9b21b4
151361a2216
hexbb7631a2

3145085346 has 64 divisors (see below), whose sum is σ = 7057290240. Its totient is φ = 927832320.

The previous prime is 3145085341. The next prime is 3145085369. The reversal of 3145085346 is 6435805413.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3145085341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257596 + ... + 269528.

It is an arithmetic number, because the mean of its divisors is an integer number (110270160).

Almost surely, 23145085346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3145085346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528645120).

3145085346 is an abundant number, since it is smaller than the sum of its proper divisors (3912204894).

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

3145085346 is a wasteful number, since it uses less digits than its factorization.

3145085346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12091.

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 3145085346 is about 56081.0604928259. The cubic root of 3145085346 is about 1465.1344440521.

The spelling of 3145085346 in words is "three billion, one hundred forty-five million, eighty-five thousand, three hundred forty-six".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 109 186 218 327 403 654 806 1209 1417 2418 2834 3379 4251 6758 8502 10137 11933 20274 23866 35799 43927 71598 87854 131781 155129 263562 310258 369923 465387 739846 930774 1109769 1300697 2219538 2601394 3902091 4808999 7804182 9617998 14426997 16909061 28853994 33818122 40321607 50727183 80643214 101454366 120964821 241929642 524180891 1048361782 1572542673 3145085346