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340004033670 = 235721193193877
BaseRepresentation
bin1001111001010011101…
…00011101010010000110
31012111121110120111101210
410330221310131102012
521032312013034140
6420110134232250
733364421413200
oct4745164352206
91174543514353
10340004033670
1112121645a954
1255a8a7b5686
13260a6994152
141265607d770
158c9e6e0d80
hex4f29d1d486

340004033670 has 96 divisors (see below), whose sum is σ = 950036322528. Its totient is φ = 77649664512.

The previous prime is 340004033653. The next prime is 340004033711. The reversal of 340004033670 is 76330400043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1656772 + ... + 1850648.

It is an arithmetic number, because the mean of its divisors is an integer number (9896211693).

Almost surely, 2340004033670 is an apocalyptic number.

340004033670 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 340004033670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475018161264).

340004033670 is an abundant number, since it is smaller than the sum of its proper divisors (610032288858).

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

340004033670 is a wasteful number, since it uses less digits than its factorization.

340004033670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195094 (or 195087 counting only the distinct ones).

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

The spelling of 340004033670 in words is "three hundred forty billion, four million, thirty-three thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1193 1470 2386 3579 5965 7158 8351 11930 16702 17895 25053 35790 41755 50106 58457 83510 116914 125265 175371 193877 250530 292285 350742 387754 581631 584570 876855 969385 1163262 1357139 1753710 1938770 2714278 2908155 4071417 5816310 6785695 8142834 9499973 13571390 18999946 20357085 28499919 40714170 47499865 56999838 94999730 142499595 231295261 284999190 462590522 693885783 1156476305 1387771566 1619066827 2312952610 3238133654 3469428915 4857200481 6938857830 8095334135 9714400962 11333467789 16190668270 22666935578 24286002405 34000403367 48572004810 56667338945 68000806734 113334677890 170002016835 340004033670