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34305403040 = 2551911995641
BaseRepresentation
bin11111111100110000…
…101110100010100000
310021112210200001000222
4133330300232202200
51030224140344130
623432031502212
72323056054206
oct377460564240
9107483601028
1034305403040
1113604562067
126794987968
13330935696c
14193617b076
15d5bac8ce5
hex7fcc2e8a0

34305403040 has 96 divisors (see below), whose sum is σ = 81894758400. Its totient is φ = 13579315200.

The previous prime is 34305403037. The next prime is 34305403043. The reversal of 34305403040 is 4030450343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34305403037) and next prime (34305403043).

It is not an unprimeable number, because it can be changed into a prime (34305403043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6078620 + ... + 6084260.

It is an arithmetic number, because the mean of its divisors is an integer number (853070400).

Almost surely, 234305403040 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 34305403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40947379200).

34305403040 is an abundant number, since it is smaller than the sum of its proper divisors (47589355360).

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

34305403040 is a wasteful number, since it uses less digits than its factorization.

34305403040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6046 (or 6038 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

Adding to 34305403040 its reverse (4030450343), we get a palindrome (38335853383).

The spelling of 34305403040 in words is "thirty-four billion, three hundred five million, four hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 191 199 382 398 764 796 955 995 1528 1592 1910 1990 3056 3184 3820 3980 5641 6112 6368 7640 7960 11282 15280 15920 22564 28205 30560 31840 38009 45128 56410 76018 90256 112820 152036 180512 190045 225640 304072 380090 451280 608144 760180 902560 1077431 1122559 1216288 1520360 2154862 2245118 3040720 4309724 4490236 5387155 5612795 6081440 8619448 8980472 10774310 11225590 17238896 17960944 21548620 22451180 34477792 35921888 43097240 44902360 86194480 89804720 172388960 179609440 214408769 428817538 857635076 1072043845 1715270152 2144087690 3430540304 4288175380 6861080608 8576350760 17152701520 34305403040