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3484446252 = 22372193110061
BaseRepresentation
bin1100111110110000…
…0110111000101100
322222211121012122220
43033230012320230
524114004240002
61333431435340
7152230206300
oct31754067054
98884535586
103484446252
111528974051
12812b25b50
13436b81c21
14250aadd00
15155d887bc
hexcfb06e2c

3484446252 has 144 divisors (see below), whose sum is σ = 10277729280. Its totient is φ = 912643200.

The previous prime is 3484446227. The next prime is 3484446269. The reversal of 3484446252 is 2526444843.

It is a super-3 number, since 3×34844462523 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 341302 + ... + 351362.

It is an arithmetic number, because the mean of its divisors is an integer number (71373120).

Almost surely, 23484446252 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 3484446252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5138864640).

3484446252 is an abundant number, since it is smaller than the sum of its proper divisors (6793283028).

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

3484446252 is a wasteful number, since it uses less digits than its factorization.

3484446252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10132 (or 10123 counting only the distinct ones).

The product of its digits is 737280, while the sum is 42.

The square root of 3484446252 is about 59029.1983005021. The cubic root of 3484446252 is about 1516.0420823363.

The spelling of 3484446252 in words is "three billion, four hundred eighty-four million, four hundred forty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 31 38 42 49 57 62 76 84 93 98 114 124 133 147 186 196 217 228 266 294 372 399 434 532 588 589 651 798 868 931 1178 1302 1519 1596 1767 1862 2356 2604 2793 3038 3534 3724 4123 4557 5586 6076 7068 8246 9114 10061 11172 12369 16492 18228 20122 24738 28861 30183 40244 49476 57722 60366 70427 86583 115444 120732 140854 173166 191159 211281 281708 311891 346332 382318 422562 492989 573477 623782 764636 845124 935673 985978 1146954 1247564 1338113 1478967 1871346 1971956 2183237 2293908 2676226 2957934 3742692 4014339 4366474 5352452 5915868 5925929 6549711 8028678 8732948 9366791 11851858 13099422 15282659 16057356 17777787 18733582 23703716 26198844 28100373 30565318 35555574 37467164 41481503 45847977 56200746 61130636 71111148 82963006 91695954 112401492 124444509 165926012 183391908 248889018 290370521 497778036 580741042 871111563 1161482084 1742223126 3484446252