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34204134020 = 22571914279011
BaseRepresentation
bin11111110110101110…
…011010101010000100
310021021202010001001112
4133312232122222010
51030022224242040
623414013144152
72320416225230
oct376656325204
9107252101045
1034204134020
1113562384161
126766a8b058
1332c138a674
1419269395c0
15d52c73365
hex7f6b9aa84

34204134020 has 96 divisors (see below), whose sum is σ = 86480593920. Its totient is φ = 11100896640.

The previous prime is 34204133993. The next prime is 34204134023. The reversal of 34204134020 is 2043140243.

It is not an unprimeable number, because it can be changed into a prime (34204134023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3791315 + ... + 3800325.

It is an arithmetic number, because the mean of its divisors is an integer number (900839520).

Almost surely, 234204134020 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 34204134020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43240296960).

34204134020 is an abundant number, since it is smaller than the sum of its proper divisors (52276459900).

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

34204134020 is a wasteful number, since it uses less digits than its factorization.

34204134020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10473 (or 10471 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 34204134020 its reverse (2043140243), we get a palindrome (36247274263).

The spelling of 34204134020 in words is "thirty-four billion, two hundred four million, one hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 1427 2660 2854 5708 7135 9011 9989 14270 18022 19978 27113 28540 36044 39956 45055 49945 54226 63077 90110 99890 108452 126154 135565 171209 180220 189791 199780 252308 271130 315385 342418 379582 542260 630770 684836 759164 856045 948955 1198463 1261540 1712090 1897910 2396926 3424180 3795820 4793852 5992315 11984630 12858697 23969260 25717394 51434788 64293485 90010879 128586970 180021758 244315243 257173940 360043516 450054395 488630486 900108790 977260972 1221576215 1710206701 1800217580 2443152430 3420413402 4886304860 6840826804 8551033505 17102067010 34204134020