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34004420 = 22517103971
BaseRepresentation
bin1000000110110…
…1110111000100
32100222121021222
42001231313010
532201120140
63212455512
7562014152
oct201556704
970877258
1034004420
111821602a
12b47a598
137077878
1447323d2
152eba5b5
hex206ddc4

34004420 has 48 divisors (see below), whose sum is σ = 76422528. Its totient is φ = 12664320.

The previous prime is 34004413. The next prime is 34004447. The reversal of 34004420 is 2440043.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34535 + ... + 35505.

It is an arithmetic number, because the mean of its divisors is an integer number (1592136).

Almost surely, 234004420 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 34004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38211264).

34004420 is an abundant number, since it is smaller than the sum of its proper divisors (42418108).

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

34004420 is a wasteful number, since it uses less digits than its factorization.

34004420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 34004420 is about 5831.3308944014. The cubic root of 34004420 is about 323.9752178373.

Adding to 34004420 its reverse (2440043), we get a palindrome (36444463).

The spelling of 34004420 in words is "thirty-four million, four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 103 170 206 340 412 515 971 1030 1751 1942 2060 3502 3884 4855 7004 8755 9710 16507 17510 19420 33014 35020 66028 82535 100013 165070 200026 330140 400052 500065 1000130 1700221 2000260 3400442 6800884 8501105 17002210 34004420