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3456556220 = 2251327149057
BaseRepresentation
bin1100111000000110…
…1101110010111100
322220220010020201202
43032001231302330
524034334244340
61330553555032
7151441146245
oct31601556274
98826106652
103456556220
111514154937
12805715a78
13431168450
1424b0cdccc
151536c9c15
hexce06dcbc

3456556220 has 48 divisors (see below), whose sum is σ = 7846140288. Its totient is φ = 1271531520.

The previous prime is 3456556211. The next prime is 3456556231. The reversal of 3456556220 is 226556543.

It is a congruent number.

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, 45932 + ... + 94988.

It is an arithmetic number, because the mean of its divisors is an integer number (163461256).

Almost surely, 23456556220 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 3456556220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3923070144).

3456556220 is an abundant number, since it is smaller than the sum of its proper divisors (4389584068).

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

3456556220 is a wasteful number, since it uses less digits than its factorization.

3456556220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49350 (or 49348 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

The square root of 3456556220 is about 58792.4843836353. The cubic root of 3456556220 is about 1511.9863658569.

The spelling of 3456556220 in words is "three billion, four hundred fifty-six million, five hundred fifty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 271 542 1084 1355 2710 3523 5420 7046 14092 17615 35230 49057 70460 98114 196228 245285 490570 637741 981140 1275482 2550964 3188705 6377410 12754820 13294447 26588894 53177788 66472235 132944470 172827811 265888940 345655622 691311244 864139055 1728278110 3456556220