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3325249920 = 273510915889
BaseRepresentation
bin1100011000110011…
…0100100110000000
322120202001012100110
43012030310212000
523302230444140
61305543351320
7145255105116
oct30614644600
98522035313
103325249920
111457020533
12789752540
1340cbb3205
142378adab6
15146dde380
hexc6334980

3325249920 has 128 divisors (see below), whose sum is σ = 10697148000. Its totient is φ = 878542848.

The previous prime is 3325249883. The next prime is 3325249933. The reversal of 3325249920 is 299425233.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33252499202 = 22114574060920012800, which contains 22 as substring.

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, 201336 + ... + 217224.

Almost surely, 23325249920 is an apocalyptic number.

3325249920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3325249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348574000).

3325249920 is an abundant number, since it is smaller than the sum of its proper divisors (7371898080).

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

3325249920 is a wasteful number, since it uses less digits than its factorization.

3325249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16020 (or 16008 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 3325249920 is about 57664.9800138698. The cubic root of 3325249920 is about 1492.5931032325.

The spelling of 3325249920 in words is "three billion, three hundred twenty-five million, two hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 109 120 128 160 192 218 240 320 327 384 436 480 545 640 654 872 960 1090 1308 1635 1744 1920 2180 2616 3270 3488 4360 5232 6540 6976 8720 10464 13080 13952 15889 17440 20928 26160 31778 34880 41856 47667 52320 63556 69760 79445 95334 104640 127112 158890 190668 209280 238335 254224 317780 381336 476670 508448 635560 762672 953340 1016896 1271120 1525344 1731901 1906680 2033792 2542240 3050688 3463802 3813360 5084480 5195703 6101376 6927604 7626720 8659505 10168960 10391406 13855208 15253440 17319010 20782812 25978515 27710416 30506880 34638020 41565624 51957030 55420832 69276040 83131248 103914060 110841664 138552080 166262496 207828120 221683328 277104160 332524992 415656240 554208320 665049984 831312480 1108416640 1662624960 3325249920