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3373404066 = 2322331261139
BaseRepresentation
bin1100100100010010…
…0000111110100010
322201002122200102100
43021010200332202
523402042412231
61314423431230
7146411314164
oct31104407642
98632580370
103373404066
11148122044a
127a18b5516
13419b733a6
14240046934
1514b2521e6
hexc9120fa2

3373404066 has 144 divisors (see below), whose sum is σ = 8067608640. Its totient is φ = 1016452800.

The previous prime is 3373404059. The next prime is 3373404131. The reversal of 3373404066 is 6604043733.

It is a super-2 number, since 2×33734040662 = 22759709985010664712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3373404066.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24269025 + ... + 24269163.

It is an arithmetic number, because the mean of its divisors is an integer number (56025060).

Almost surely, 23373404066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3373404066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033804320).

3373404066 is an abundant number, since it is smaller than the sum of its proper divisors (4694204574).

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

3373404066 is a wasteful number, since it uses less digits than its factorization.

3373404066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 3373404066 is about 58081.0129560427. The cubic root of 3373404066 is about 1499.7635280560.

Adding to 3373404066 its reverse (6604043733), we get a palindrome (9977447799).

The spelling of 3373404066 in words is "three billion, three hundred seventy-three million, four hundred four thousand, sixty-six".

Divisors: 1 2 3 6 9 18 23 31 46 61 62 69 93 122 138 139 183 186 207 278 279 366 414 417 549 558 713 834 961 1098 1251 1403 1426 1891 1922 2139 2502 2806 2883 3197 3782 4209 4278 4309 5673 5766 6394 6417 8418 8479 8618 8649 9591 11346 12627 12834 12927 16958 17019 17298 19182 22103 25254 25437 25854 28773 34038 38781 43493 44206 50874 57546 58621 66309 76311 77562 86986 99107 117242 130479 132618 133579 152622 175863 195017 198214 198927 260958 262849 267158 297321 351726 390034 391437 397854 400737 525698 527589 585051 594642 782874 788547 801474 891963 1055178 1170102 1202211 1348283 1577094 1755153 1783926 2365641 2404422 2696566 3072317 3510306 4044849 4731282 6045527 6144634 8089698 8148319 9216951 12091054 12134547 16296638 18136581 18433902 24269094 24444957 27650853 36273162 48889914 54409743 55301706 73334871 108819486 146669742 187411337 374822674 562234011 1124468022 1686702033 3373404066