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34427904 = 210371601
BaseRepresentation
bin1000001101010…
…1010000000000
32101210010012120
42003111100000
532303143104
63225524240
7565426620
oct203252000
971703176
1034427904
1118485215
12b643680
137195554
144802880
153050cd9
hex20d5400

34427904 has 88 divisors (see below), whose sum is σ = 104937408. Its totient is φ = 9830400.

The previous prime is 34427893. The next prime is 34427927. The reversal of 34427904 is 40972443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20704 + ... + 22304.

Almost surely, 234427904 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 34427904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52468704).

34427904 is an abundant number, since it is smaller than the sum of its proper divisors (70509504).

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

34427904 is a wasteful number, since it uses less digits than its factorization.

34427904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 34427904 is about 5867.5296334999. The cubic root of 34427904 is about 325.3145798262.

The spelling of 34427904 in words is "thirty-four million, four hundred twenty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1601 1792 2688 3072 3202 3584 4803 5376 6404 7168 9606 10752 11207 12808 19212 21504 22414 25616 33621 38424 44828 51232 67242 76848 89656 102464 134484 153696 179312 204928 268968 307392 358624 409856 537936 614784 717248 819712 1075872 1229568 1434496 1639424 2151744 2459136 2868992 4303488 4918272 5737984 8606976 11475968 17213952 34427904