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34721344140 = 22357264318367
BaseRepresentation
bin100000010101100011…
…011010101010001100
310022121210100000221220
4200111203122222030
51032102131003030
623541210523340
72336266361400
oct402543325214
9108553300856
1034721344140
11137a832583a
126890136550
13337458a062
1419754d1100
15d8338aa10
hex8158daa8c

34721344140 has 144 divisors (see below), whose sum is σ = 113274427392. Its totient is φ = 7923533184.

The previous prime is 34721344127. The next prime is 34721344169. The reversal of 34721344140 is 4144312743.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1881237 + ... + 1899603.

It is an arithmetic number, because the mean of its divisors is an integer number (786627968).

Almost surely, 234721344140 is an apocalyptic number.

34721344140 is a gapful number since it is divisible by the number (30) 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 34721344140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56637213696).

34721344140 is an abundant number, since it is smaller than the sum of its proper divisors (78553083252).

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

34721344140 is a wasteful number, since it uses less digits than its factorization.

34721344140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19036 (or 19027 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

Adding to 34721344140 its reverse (4144312743), we get a palindrome (38865656883).

The spelling of 34721344140 in words is "thirty-four billion, seven hundred twenty-one million, three hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 643 735 980 1286 1470 1929 2572 2940 3215 3858 4501 6430 7716 9002 9645 12860 13503 18004 18367 19290 22505 27006 31507 36734 38580 45010 54012 55101 63014 67515 73468 90020 91835 94521 110202 126028 128569 135030 157535 183670 189042 220404 257138 270060 275505 315070 367340 378084 385707 472605 514276 551010 630140 642845 771414 899983 945210 1102020 1285690 1542828 1799966 1890420 1928535 2571380 2699949 3599932 3857070 4499915 5399898 7714140 8999830 10799796 11809981 13499745 17999660 23619962 26999490 35429943 47239924 53998980 59049905 70859886 82669867 118099810 141719772 165339734 177149715 236199620 248009601 330679468 354299430 413349335 496019202 578689069 708598860 826698670 992038404 1157378138 1240048005 1653397340 1736067207 2314756276 2480096010 2893445345 3472134414 4960192020 5786890690 6944268828 8680336035 11573781380 17360672070 34721344140