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33340670004 = 223232931134371
BaseRepresentation
bin11111000011010000…
…100100000000110100
310012001120100112002210
4133003100210000310
51021240202420004
623152210133420
72260133006355
oct370320440064
9105046315083
1033340670004
1113159a36934
126565881270
1331b4516c05
141883dadd2c
15d02062089
hex7c3424034

33340670004 has 96 divisors (see below), whose sum is σ = 86686064640. Its totient is φ = 9932630400.

The previous prime is 33340670003. The next prime is 33340670039. The reversal of 33340670004 is 40007604333.

It is a super-2 number, since 2×333406700042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33340670003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 180939 + ... + 315309.

It is an arithmetic number, because the mean of its divisors is an integer number (902979840).

Almost surely, 233340670004 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 33340670004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43343032320).

33340670004 is an abundant number, since it is smaller than the sum of its proper divisors (53345394636).

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

33340670004 is a wasteful number, since it uses less digits than its factorization.

33340670004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134461 (or 134459 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 30.

The spelling of 33340670004 in words is "thirty-three billion, three hundred forty million, six hundred seventy thousand, four".

Divisors: 1 2 3 4 6 12 23 29 31 46 58 62 69 87 92 93 116 124 138 174 186 276 348 372 667 713 899 1334 1426 1798 2001 2139 2668 2697 2852 3596 4002 4278 5394 8004 8556 10788 20677 41354 62031 82708 124062 134371 248124 268742 403113 537484 806226 1612452 3090533 3896759 4165501 6181066 7793518 8331002 9271599 11690277 12362132 12496503 15587036 16662004 18543198 23380554 24993006 37086396 46761108 49986012 89625457 95806523 120799529 179250914 191613046 241599058 268876371 287419569 358501828 362398587 383226092 483198116 537752742 574839138 724797174 1075505484 1149678276 1449594348 2778389167 5556778334 8335167501 11113556668 16670335002 33340670004