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3342002004 = 2234114122871
BaseRepresentation
bin1100011100110010…
…1110011101010100
322121220120021220000
43013030232131110
523321023031004
61311342411300
7145550356035
oct30714563524
98556507800
103342002004
111465522630
12793290b30
134134ca1a3
14239bd0a8c
151485ecc39
hexc732e754

3342002004 has 120 divisors (see below), whose sum is σ = 9763782336. Its totient is φ = 987984000.

The previous prime is 3342001939. The next prime is 3342002033. The reversal of 3342002004 is 4002002433.

It is a super-2 number, since 2×33420020042 = 22337954789480032032, which contains 22 as substring.

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

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 39 ways as a sum of consecutive naturals, for example, 134689 + ... + 157559.

Almost surely, 23342002004 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 3342002004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4881891168).

3342002004 is an abundant number, since it is smaller than the sum of its proper divisors (6421780332).

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

3342002004 is a wasteful number, since it uses less digits than its factorization.

3342002004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22939 (or 22928 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3342002004 is about 57810.0510638072. The cubic root of 3342002004 is about 1495.0953886705.

Adding to 3342002004 its reverse (4002002433), we get a palindrome (7344004437).

The spelling of 3342002004 in words is "three billion, three hundred forty-two million, two thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 41 44 54 66 81 82 99 108 123 132 162 164 198 246 297 324 369 396 451 492 594 738 891 902 1107 1188 1353 1476 1782 1804 2214 2706 3321 3564 4059 4428 5412 6642 8118 12177 13284 16236 22871 24354 36531 45742 48708 68613 73062 91484 137226 146124 205839 251581 274452 411678 503162 617517 754743 823356 937711 1006324 1235034 1509486 1852551 1875422 2264229 2470068 2813133 3018972 3705102 3750844 4528458 5626266 6792687 7410204 8439399 9056916 10314821 11252532 13585374 16878798 20378061 20629642 25318197 27170748 30944463 33757596 40756122 41259284 50636394 61888926 75954591 81512244 92833389 101272788 123777852 151909182 185666778 278500167 303818364 371333556 557000334 835500501 1114000668 1671001002 3342002004