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3404130100 = 2252747107967
BaseRepresentation
bin1100101011100110…
…1110011100110100
322210020110201121121
43022321232130310
523432424130400
61321442153324
7150233425360
oct31271563464
98706421547
103404130100
1114975a7368
127b0052844
13423340987
142441642a0
1514dcc121a
hexcae6e734

3404130100 has 144 divisors (see below), whose sum is σ = 8711442432. Its totient is φ = 1130451840.

The previous prime is 3404130097. The next prime is 3404130101. The reversal of 3404130100 is 10314043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404130101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3519817 + ... + 3520783.

It is an arithmetic number, because the mean of its divisors is an integer number (60496128).

Almost surely, 23404130100 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 3404130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4355721216).

3404130100 is an abundant number, since it is smaller than the sum of its proper divisors (5307312332).

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

3404130100 is a wasteful number, since it uses less digits than its factorization.

3404130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3404130100 is about 58344.9235152468. The cubic root of 3404130100 is about 1504.3032134677.

Adding to 3404130100 its reverse (10314043), we get a palindrome (3414444143).

The spelling of 3404130100 in words is "three billion, four hundred four million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 47 50 70 94 100 107 140 175 188 214 235 329 350 428 470 535 658 700 749 940 967 1070 1175 1316 1498 1645 1934 2140 2350 2675 2996 3290 3745 3868 4700 4835 5029 5350 6580 6769 7490 8225 9670 10058 10700 13538 14980 16450 18725 19340 20116 24175 25145 27076 32900 33845 35203 37450 45449 48350 50290 67690 70406 74900 90898 96700 100580 103469 125725 135380 140812 169225 176015 181796 206938 227245 251450 318143 338450 352030 413876 454490 502900 517345 636286 676900 704060 724283 880075 908980 1034690 1136225 1272572 1448566 1590715 1760150 2069380 2272450 2586725 2897132 3181430 3520300 3621415 4544900 4863043 5173450 6362860 7242830 7953575 9726086 10346900 14485660 15907150 18107075 19452172 24315215 31814300 34041301 36214150 48630430 68082602 72428300 97260860 121576075 136165204 170206505 243152150 340413010 486304300 680826020 851032525 1702065050 3404130100