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34400412 = 22321922647
BaseRepresentation
bin1000001100111…
…0100010011100
32101201201111100
42003032202130
532301303122
63225153100
7565253514
oct203164234
971651440
1034400412
11184665a2
12b62b790
137185b97
1447d6844
153047aac
hex20ce89c

34400412 has 54 divisors (see below), whose sum is σ = 91808808. Its totient is φ = 10859184.

The previous prime is 34400411. The next prime is 34400449. The reversal of 34400412 is 21400443.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34400411) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 11673 + ... + 14319.

Almost surely, 234400412 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 34400412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45904404).

34400412 is an abundant number, since it is smaller than the sum of its proper divisors (57408396).

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

34400412 is a wasteful number, since it uses less digits than its factorization.

34400412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2671 counting only the distinct ones).

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

The square root of 34400412 is about 5865.1864420494. The cubic root of 34400412 is about 325.2279647162.

Adding to 34400412 its reverse (21400443), we get a palindrome (55800855).

The spelling of 34400412 in words is "thirty-four million, four hundred thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 2647 3249 4332 5294 6498 7941 10588 12996 15882 23823 31764 47646 50293 95292 100586 150879 201172 301758 452637 603516 905274 955567 1810548 1911134 2866701 3822268 5733402 8600103 11466804 17200206 34400412