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34101104240 = 2457193204991
BaseRepresentation
bin11111110000100101…
…011000111001110000
310021000120020120202202
4133300211120321300
51024314340313430
623355453002332
72315025413660
oct376045307160
9107016216682
1034101104240
111350a203385
1267384833a8
1332a5c25ab8
141916d9a1a0
15d48bc0d45
hex7f0958e70

34101104240 has 80 divisors (see below), whose sum is σ = 95380561920. Its totient is φ = 11076445440.

The previous prime is 34101104239. The next prime is 34101104249. The reversal of 34101104240 is 4240110143.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34101104249) 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, 1591856 + ... + 1613135.

It is an arithmetic number, because the mean of its divisors is an integer number (1192257024).

Almost surely, 234101104240 is an apocalyptic number.

It is an amenable number.

34101104240 is an abundant number, since it is smaller than the sum of its proper divisors (61279457680).

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

34101104240 is a wasteful number, since it uses less digits than its factorization.

34101104240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3205030 (or 3205024 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 34101104240 its reverse (4240110143), we get a palindrome (38341214383).

The spelling of 34101104240 in words is "thirty-four billion, one hundred one million, one hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 10640 3204991 6409982 12819964 16024955 22434937 25639928 32049910 44869874 51279856 60894829 64099820 89739748 112174685 121789658 128199640 179479496 224349370 243579316 256399280 304474145 358958992 426263803 448698740 487158632 608948290 852527606 897397480 974317264 1217896580 1705055212 1794794960 2131319015 2435793160 3410110424 4262638030 4871586320 6820220848 8525276060 17050552120 34101104240