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34204100 = 22527131373
BaseRepresentation
bin1000001001111…
…0100111000100
32101100202012112
42002132213010
532224012400
63221040152
7563505260
oct202364704
971322175
1034204100
1118342057
12b556058
137117718
1447850a0
153009835
hex209e9c4

34204100 has 72 divisors (see below), whose sum is σ = 85702848. Its totient is φ = 11606400.

The previous prime is 34204099. The next prime is 34204111. The reversal of 34204100 is 140243.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91514 + ... + 91886.

Almost surely, 234204100 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 34204100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42851424).

34204100 is an abundant number, since it is smaller than the sum of its proper divisors (51498748).

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

34204100 is a wasteful number, since it uses less digits than its factorization.

34204100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 34204100 is about 5848.4271389836. The cubic root of 34204100 is about 324.6081272901.

Adding to 34204100 its reverse (140243), we get a palindrome (34344343).

The spelling of 34204100 in words is "thirty-four million, two hundred four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 131 140 175 262 350 373 524 655 700 746 917 1310 1492 1834 1865 2611 2620 3275 3668 3730 4585 5222 6550 7460 9170 9325 10444 13055 13100 18340 18650 22925 26110 37300 45850 48863 52220 65275 91700 97726 130550 195452 244315 261100 342041 488630 684082 977260 1221575 1368164 1710205 2443150 3420410 4886300 6840820 8551025 17102050 34204100