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2934341640 = 233953727
BaseRepresentation
bin1010111011100110…
…1000000000001000
321120111111000000000
42232321220000020
522002142413030
61203101043000
7132500330616
oct25671500010
97514430000
102934341640
1112763a533a
1269a856460
13379c05c39
141db9d46b6
15122924860
hexaee68008

2934341640 has 160 divisors (see below), whose sum is σ = 9905892480. Its totient is φ = 782281152.

The previous prime is 2934341623. The next prime is 2934341681. The reversal of 2934341640 is 461434392.

It is a happy number.

2934341640 is a `hidden beast` number, since 2 + 9 + 3 + 4 + 3 + 4 + 1 + 640 = 666.

It is a super-2 number, since 2×29343416402 = 17220721720475779200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2934341595 and 2934341604.

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, 785457 + ... + 789183.

It is an arithmetic number, because the mean of its divisors is an integer number (61911828).

Almost surely, 22934341640 is an apocalyptic number.

2934341640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2934341640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952946240).

2934341640 is an abundant number, since it is smaller than the sum of its proper divisors (6971550840).

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

2934341640 is an frugal number, since it uses more digits than its factorization.

2934341640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2934341640 is about 54169.5637789340. The cubic root of 2934341640 is about 1431.6501140020.

The spelling of 2934341640 in words is "two billion, nine hundred thirty-four million, three hundred forty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2187 2430 2916 3240 3645 3727 4374 4860 5832 6561 7290 7454 8748 9720 10935 11181 13122 14580 14908 17496 18635 19683 21870 22362 26244 29160 29816 32805 33543 37270 39366 43740 44724 52488 55905 65610 67086 74540 78732 87480 89448 98415 100629 111810 131220 134172 149080 157464 167715 196830 201258 223620 262440 268344 301887 335430 393660 402516 447240 503145 603774 670860 787320 805032 905661 1006290 1207548 1341720 1509435 1811322 2012580 2415096 2716983 3018870 3622644 4025160 4528305 5433966 6037740 7245288 8150949 9056610 10867932 12075480 13584915 16301898 18113220 21735864 24452847 27169830 32603796 36226440 40754745 48905694 54339660 65207592 73358541 81509490 97811388 108679320 122264235 146717082 163018980 195622776 244528470 293434164 326037960 366792705 489056940 586868328 733585410 978113880 1467170820 2934341640