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3481113360 = 2435142310193
BaseRepresentation
bin1100111101111101…
…1001001100010000
322222121022212210110
43033133121030100
524112131111420
61333232201320
7152156655354
oct31737311420
98877285713
103481113360
111526aa7a9a
12811999240
13436285bba
14250483464
1515592aee0
hexcf7d9310

3481113360 has 80 divisors (see below), whose sum is σ = 10800094464. Its totient is φ = 927553536.

The previous prime is 3481113343. The next prime is 3481113371. The reversal of 3481113360 is 633111843.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 336424 + ... + 346616.

Almost surely, 23481113360 is an apocalyptic number.

3481113360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3481113360 is an abundant number, since it is smaller than the sum of its proper divisors (7318981104).

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

3481113360 is a wasteful number, since it uses less digits than its factorization.

3481113360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11632 (or 11626 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3481113360 is about 59000.9606701450. The cubic root of 3481113360 is about 1515.5585606105.

The spelling of 3481113360 in words is "three billion, four hundred eighty-one million, one hundred thirteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1423 2846 4269 5692 7115 8538 10193 11384 14230 17076 20386 21345 22768 28460 30579 34152 40772 42690 50965 56920 61158 68304 81544 85380 101930 113840 122316 152895 163088 170760 203860 244632 305790 341520 407720 489264 611580 815440 1223160 2446320 14504639 29009278 43513917 58018556 72523195 87027834 116037112 145046390 174055668 217569585 232074224 290092780 348111336 435139170 580185560 696222672 870278340 1160371120 1740556680 3481113360