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3404221002 = 2327213337881
BaseRepresentation
bin1100101011101000…
…0100101001001010
322210020122100022100
43022322010221022
523432440033002
61321444134230
7150234254400
oct31272045112
98706570270
103404221002
111497659696
127b0097376
13423373170
14244189470
1514dcdd11c
hexcae84a4a

3404221002 has 144 divisors (see below), whose sum is σ = 9277966152. Its totient is φ = 894136320.

The previous prime is 3404220997. The next prime is 3404221003. The reversal of 3404221002 is 2001224043.

It can be written as a sum of positive squares in 4 ways, for example, as 1367594361 + 2036626641 = 36981^2 + 45129^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3404221003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3863602 + ... + 3864482.

Almost surely, 23404221002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3404221002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638983076).

3404221002 is an abundant number, since it is smaller than the sum of its proper divisors (5873745150).

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

3404221002 is a wasteful number, since it uses less digits than its factorization.

3404221002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3404221002 is about 58345.7025152667. The cubic root of 3404221002 is about 1504.3166033744.

Adding to 3404221002 its reverse (2001224043), we get a palindrome (5405445045).

The spelling of 3404221002 in words is "three billion, four hundred four million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 337 441 546 637 674 819 881 882 1011 1274 1638 1762 1911 2022 2359 2643 3033 3822 4381 4718 5286 5733 6066 6167 7077 7929 8762 11453 11466 12334 13143 14154 15858 16513 18501 21231 22906 26286 30667 33026 34359 37002 39429 42462 43169 49539 55503 61334 68718 78858 80171 86338 92001 99078 103077 111006 129507 148617 160342 184002 206154 214669 240513 259014 276003 296897 297234 388521 429338 481026 552006 561197 593794 644007 721539 777042 890691 1122394 1288014 1443078 1683591 1781382 1932021 2078279 2672073 3367182 3859661 3864042 4156558 5050773 5344146 6234837 7719322 10101546 11578983 12469674 14547953 18704511 23157966 27017627 29095906 34736949 37409022 43643859 54035254 69473898 81052881 87287718 130931577 162105762 189123389 243158643 261863154 378246778 486317286 567370167 1134740334 1702110501 3404221002