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34102404 = 2233779571
BaseRepresentation
bin1000001000010…
…1110010000100
32101011120201000
42002011302010
532212234104
63214533300
7562602630
oct202056204
971146630
1034102404
1118282706
12b507230
1370b034b
144759dc0
152ed9639
hex2085c84

34102404 has 96 divisors (see below), whose sum is σ = 102502400. Its totient is φ = 9603360.

The previous prime is 34102403. The next prime is 34102423. The reversal of 34102404 is 40420143.

It is a super-3 number, since 3×341024043 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (34102403) 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, 59439 + ... + 60009.

Almost surely, 234102404 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 34102404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51251200).

34102404 is an abundant number, since it is smaller than the sum of its proper divisors (68399996).

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

34102404 is a wasteful number, since it uses less digits than its factorization.

34102404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34102404 is about 5839.7263634523. The cubic root of 34102404 is about 324.2860984610.

Adding to 34102404 its reverse (40420143), we get a palindrome (74522547).

The spelling of 34102404 in words is "thirty-four million, one hundred two thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 79 84 108 126 158 189 237 252 316 378 474 553 571 711 756 948 1106 1142 1422 1659 1713 2133 2212 2284 2844 3318 3426 3997 4266 4977 5139 6636 6852 7994 8532 9954 10278 11991 14931 15417 15988 19908 20556 23982 29862 30834 35973 45109 47964 59724 61668 71946 90218 107919 135327 143892 180436 215838 270654 315763 405981 431676 541308 631526 811962 947289 1217943 1263052 1623924 1894578 2435886 2841867 3789156 4871772 5683734 8525601 11367468 17051202 34102404