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3484476216 = 2332136076133
BaseRepresentation
bin1100111110110000…
…1110001100111000
322222211122201202200
43033230032030320
524114011214331
61333432230200
7152230362534
oct31754161470
98884581680
103484476216
111528994611
12812b3b360
13436b92760
14250ababc4
15155d925e6
hexcfb0e338

3484476216 has 96 divisors (see below), whose sum is σ = 10181458560. Its totient is φ = 1070205696.

The previous prime is 3484476211. The next prime is 3484476257. The reversal of 3484476216 is 6126744843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3484476211) 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, 565086 + ... + 571218.

It is an arithmetic number, because the mean of its divisors is an integer number (106056860).

Almost surely, 23484476216 is an apocalyptic number.

3484476216 is a gapful number since it is divisible by the number (36) 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 3484476216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5090729280).

3484476216 is an abundant number, since it is smaller than the sum of its proper divisors (6696982344).

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

3484476216 is a wasteful number, since it uses less digits than its factorization.

3484476216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6765 (or 6758 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 3484476216 is about 59029.4521065544. The cubic root of 3484476216 is about 1516.0464279866.

The spelling of 3484476216 in words is "three billion, four hundred eighty-four million, four hundred seventy-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 607 936 1214 1821 2428 3642 4856 5463 6133 7284 7891 10926 12266 14568 15782 18399 21852 23673 24532 31564 36798 43704 47346 49064 55197 63128 71019 73596 79729 94692 110394 142038 147192 159458 189384 220788 239187 284076 318916 441576 478374 568152 637832 717561 956748 1435122 1913496 2870244 3722731 5740488 7445462 11168193 14890924 22336386 29781848 33504579 44672772 48395503 67009158 89345544 96791006 134018316 145186509 193582012 268036632 290373018 387164024 435559527 580746036 871119054 1161492072 1742238108 3484476216