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34126704 = 2433197401
BaseRepresentation
bin1000001000101…
…1101101110000
32101012211001000
42002023231300
532214023304
63215242000
7563033523
oct202135560
971184030
1034126704
1118299997
12b519300
1370bb421
144764bba
152ee1939
hex208bb70

34126704 has 80 divisors (see below), whose sum is σ = 98699040. Its totient is φ = 11289600.

The previous prime is 34126693. The next prime is 34126711. The reversal of 34126704 is 40762143.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 84904 + ... + 85304.

It is an arithmetic number, because the mean of its divisors is an integer number (1233738).

Almost surely, 234126704 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 34126704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49349520).

34126704 is an abundant number, since it is smaller than the sum of its proper divisors (64572336).

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

34126704 is a wasteful number, since it uses less digits than its factorization.

34126704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 34126704 is about 5841.8065698891. The cubic root of 34126704 is about 324.3631045790.

Adding to 34126704 its reverse (40762143), we get a palindrome (74888847).

The spelling of 34126704 in words is "thirty-four million, one hundred twenty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 197 216 394 401 432 591 788 802 1182 1203 1576 1604 1773 2364 2406 3152 3208 3546 3609 4728 4812 5319 6416 7092 7218 9456 9624 10638 10827 14184 14436 19248 21276 21654 28368 28872 42552 43308 57744 78997 85104 86616 157994 173232 236991 315988 473982 631976 710973 947964 1263952 1421946 1895928 2132919 2843892 3791856 4265838 5687784 8531676 11375568 17063352 34126704