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3265288380 = 22325234119237
BaseRepresentation
bin1100001010100000…
…0101100010111100
322102120012211120200
43002220011202330
523141403212010
61300002243500
7143626331124
oct30250054274
98376184520
103265288380
111426196542
12771656590
1340064a903
1422d941c84
151419e7cc0
hexc2a058bc

3265288380 has 144 divisors (see below), whose sum is σ = 10587979584. Its totient is φ = 812528640.

The previous prime is 3265288333. The next prime is 3265288393. The reversal of 3265288380 is 838825623.

3265288380 is a `hidden beast` number, since 3 + 265 + 2 + 8 + 8 + 380 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160122 + ... + 179358.

It is an arithmetic number, because the mean of its divisors is an integer number (73527636).

Almost surely, 23265288380 is an apocalyptic number.

3265288380 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 3265288380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5293989792).

3265288380 is an abundant number, since it is smaller than the sum of its proper divisors (7322691204).

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

3265288380 is a wasteful number, since it uses less digits than its factorization.

3265288380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19316 (or 19311 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3265288380 is about 57142.7018962177. The cubic root of 3265288380 is about 1483.5670563273.

The spelling of 3265288380 in words is "three billion, two hundred sixty-five million, two hundred eighty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 41 45 46 60 69 82 90 92 115 123 138 164 180 205 207 230 246 276 345 369 410 414 460 492 615 690 738 820 828 943 1035 1230 1380 1476 1845 1886 2070 2460 2829 3690 3772 4140 4715 5658 7380 8487 9430 11316 14145 16974 18860 19237 28290 33948 38474 42435 56580 57711 76948 84870 96185 115422 169740 173133 192370 230844 288555 346266 384740 442451 577110 692532 788717 865665 884902 1154220 1327353 1577434 1731330 1769804 2212255 2366151 2654706 3154868 3462660 3943585 3982059 4424510 4732302 5309412 6636765 7098453 7887170 7964118 8849020 9464604 11830755 13273530 14196906 15774340 15928236 18140491 19910295 23661510 26547060 28393812 35492265 36280982 39820590 47323020 54421473 70984530 72561964 79641180 90702455 108842946 141969060 163264419 181404910 217685892 272107365 326528838 362809820 544214730 653057676 816322095 1088429460 1632644190 3265288380