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3316046140 = 22511210113567
BaseRepresentation
bin1100010110100110…
…1101100100111100
322120002201121010201
43011221231210330
523242401434030
61305014213244
7145113633001
oct30551554474
98502647121
103316046140
111451904600
12786654224
1340b00cba4
142365958a8
151461c22ca
hexc5a6d93c

3316046140 has 72 divisors (see below), whose sum is σ = 7730666496. Its totient is φ = 1193808000.

The previous prime is 3316046101. The next prime is 3316046143. The reversal of 3316046140 is 416406133.

It is a junction number, because it is equal to n+sod(n) for n = 3316046099 and 3316046108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3316046143) 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 23 ways as a sum of consecutive naturals, for example, 237637 + ... + 251203.

It is an arithmetic number, because the mean of its divisors is an integer number (107370368).

Almost surely, 23316046140 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 3316046140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865333248).

3316046140 is an abundant number, since it is smaller than the sum of its proper divisors (4414620356).

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

3316046140 is a wasteful number, since it uses less digits than its factorization.

3316046140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13699 (or 13686 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 3316046140 is about 57585.1208212677. The cubic root of 3316046140 is about 1491.2147414216.

The spelling of 3316046140 in words is "three billion, three hundred sixteen million, forty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 505 605 1010 1111 1210 2020 2222 2420 4444 5555 11110 12221 13567 22220 24442 27134 48884 54268 61105 67835 122210 135670 149237 244420 271340 298474 596948 746185 1370267 1492370 1641607 2740534 2984740 3283214 5481068 6566428 6851335 8208035 13702670 15072937 16416070 27405340 30145874 32832140 60291748 75364685 150729370 165802307 301458740 331604614 663209228 829011535 1658023070 3316046140