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34914420 = 22325474127
BaseRepresentation
bin1000010100110…
…0000001110100
32102200211120200
42011030001310
532414230140
63244200500
7602524212
oct205140164
972624520
1034914420
11187877a2
12b839130
137305b28
1448cbcb2
1530ea030
hex214c074

34914420 has 72 divisors (see below), whose sum is σ = 108186624. Its totient is φ = 9110208.

The previous prime is 34914403. The next prime is 34914461. The reversal of 34914420 is 2441943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6397 + ... + 10523.

It is an arithmetic number, because the mean of its divisors is an integer number (1502592).

Almost surely, 234914420 is an apocalyptic number.

34914420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34914420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54093312).

34914420 is an abundant number, since it is smaller than the sum of its proper divisors (73272204).

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

34914420 is a wasteful number, since it uses less digits than its factorization.

34914420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 34914420 is about 5908.8425262483. The cubic root of 34914420 is about 326.8398059446.

The spelling of 34914420 in words is "thirty-four million, nine hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4127 4230 8254 8460 12381 16508 20635 24762 37143 41270 49524 61905 74286 82540 123810 148572 185715 193969 247620 371430 387938 581907 742860 775876 969845 1163814 1745721 1939690 2327628 2909535 3491442 3879380 5819070 6982884 8728605 11638140 17457210 34914420