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34220104000 = 265333112923
BaseRepresentation
bin11111110111101011…
…010101100101000000
310021022212011101202021
4133313223111211000
51030040321312000
623415343331224
72321002041025
oct376753254500
9107285141667
1034220104000
11135703a1695
1267702b0b14
1332c478c664
141928ad554c
15d5437a11a
hex7f7ad5940

34220104000 has 112 divisors (see below), whose sum is σ = 85008695616. Its totient is φ = 13645632000.

The previous prime is 34220103989. The next prime is 34220104043. The reversal of 34220104000 is 40102243.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2641539 + ... + 2654461.

Almost surely, 234220104000 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 34220104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42504347808).

34220104000 is an abundant number, since it is smaller than the sum of its proper divisors (50788591616).

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

34220104000 is a wasteful number, since it uses less digits than its factorization.

34220104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13281 (or 13261 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 34220104000 its reverse (40102243), we get a palindrome (34260206243).

The spelling of 34220104000 in words is "thirty-four billion, two hundred twenty million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 331 400 500 662 800 1000 1324 1600 1655 2000 2648 3310 4000 5296 6620 8000 8275 10592 12923 13240 16550 21184 25846 26480 33100 41375 51692 52960 64615 66200 82750 103384 105920 129230 132400 165500 206768 258460 264800 323075 331000 413536 516920 529600 646150 662000 827072 1033840 1292300 1324000 1615375 2067680 2584600 2648000 3230750 4135360 4277513 5169200 6461500 8555026 10338400 12923000 17110052 20676800 21387565 25846000 34220104 42775130 51692000 68440208 85550260 103384000 106937825 136880416 171100520 213875650 273760832 342201040 427751300 534689125 684402080 855502600 1069378250 1368804160 1711005200 2138756500 3422010400 4277513000 6844020800 8555026000 17110052000 34220104000