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340214303304 = 23343375572797
BaseRepresentation
bin1001111001101100101…
…10100100101001001000
31012112011010020022010000
410330312112210221020
521033224330201204
6420143045123000
733402553602201
oct4746626445110
91175133208100
10340214303304
11121314117607
1255b290b9460
132610b405955
1412675d765a8
158cb2dc8039
hex4f365a4a48

340214303304 has 160 divisors (see below), whose sum is σ = 957800895480. Its totient is φ = 112824907776.

The previous prime is 340214303281. The next prime is 340214303333. The reversal of 340214303304 is 403303412043.

340214303304 is a `hidden beast` number, since 3 + 40 + 2 + 14 + 303 + 304 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 222151968900 + 118062334404 = 471330^2 + 343602^2 .

It is a super-2 number, since 2×3402143033042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 121634034 + ... + 121636830.

Almost surely, 2340214303304 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 340214303304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478900447740).

340214303304 is an abundant number, since it is smaller than the sum of its proper divisors (617586592176).

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

340214303304 is a wasteful number, since it uses less digits than its factorization.

340214303304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3709 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 340214303304 its reverse (403303412043), we get a palindrome (743517715347).

The spelling of 340214303304 in words is "three hundred forty billion, two hundred fourteen million, three hundred three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 337 557 648 674 1011 1114 1348 1671 2022 2228 2696 2797 3033 3342 4044 4456 5013 5594 6066 6684 8088 8391 9099 10026 11188 12132 13368 15039 16782 18198 20052 22376 24264 25173 27297 30078 33564 36396 40104 45117 50346 54594 60156 67128 72792 75519 90234 100692 109188 120312 151038 180468 187709 201384 218376 226557 302076 360936 375418 453114 563127 604152 750836 906228 942589 1126254 1501672 1557929 1689381 1812456 1885178 2252508 2827767 3115858 3378762 3770356 4505016 4673787 5068143 5655534 6231716 6757524 7540712 8483301 9347574 10136286 11311068 12463432 13515048 14021361 15204429 16966602 18695148 20272572 22622136 25449903 28042722 30408858 33933204 37390296 40545144 42064083 50899806 56085444 60817716 67866408 76349709 84128166 101799612 112170888 121635432 126192249 152699418 168256332 203599224 252384498 305398836 336512664 504768996 525022073 610797672 1009537992 1050044146 1575066219 2100088292 3150132438 4200176584 4725198657 6300264876 9450397314 12600529752 14175595971 18900794628 28351191942 37801589256 42526787913 56702383884 85053575826 113404767768 170107151652 340214303304