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33214004340 = 22351189565441
BaseRepresentation
bin11110111011101101…
…010111110001110100
310011201202000020110220
4132323231113301310
51021010241114330
623131443214340
72254034243616
oct367355276164
9104652006426
1033214004340
11130a4492070
12652b3773b0
1331941c800a
14187123adb6
15ce5d91710
hex7bbb57c74

33214004340 has 96 divisors (see below), whose sum is σ = 102593796480. Its totient is φ = 7961395200.

The previous prime is 33214004339. The next prime is 33214004357. The reversal of 33214004340 is 4340041233.

It is a super-2 number, since 2×332140043402 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33214004340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223981 + ... + 341460.

It is an arithmetic number, because the mean of its divisors is an integer number (1068685380).

Almost surely, 233214004340 is an apocalyptic number.

33214004340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33214004340 is an abundant number, since it is smaller than the sum of its proper divisors (69379792140).

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

33214004340 is a wasteful number, since it uses less digits than its factorization.

33214004340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565553 (or 565551 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 33214004340 its reverse (4340041233), we get a palindrome (37554045573).

The spelling of 33214004340 in words is "thirty-three billion, two hundred fourteen million, four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 89 110 132 165 178 220 267 330 356 445 534 660 890 979 1068 1335 1780 1958 2670 2937 3916 4895 5340 5874 9790 11748 14685 19580 29370 58740 565441 1130882 1696323 2261764 2827205 3392646 5654410 6219851 6785292 8481615 11308820 12439702 16963230 18659553 24879404 31099255 33926460 37319106 50324249 62198510 74638212 93297765 100648498 124397020 150972747 186595530 201296996 251621245 301945494 373191060 503242490 553566739 603890988 754863735 1006484980 1107133478 1509727470 1660700217 2214266956 2767833695 3019454940 3321400434 5535667390 6642800868 8303501085 11071334780 16607002170 33214004340