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34904430 = 23251135257
BaseRepresentation
bin1000010100100…
…1100101101110
32102200022212200
42011021211232
532413420210
63244042330
7602453121
oct205114556
972608780
1034904430
1118780240
12b8333a6
137301412
1448c83b8
1530e70c0
hex214996e

34904430 has 48 divisors (see below), whose sum is σ = 99004464. Its totient is φ = 8461440.

The previous prime is 34904423. The next prime is 34904437. The reversal of 34904430 is 3440943.

34904430 = T54 + T55 + ... + T593.

It is an interprime number because it is at equal distance from previous prime (34904423) and next prime (34904437).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34904394 and 34904403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34904437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16639 + ... + 18618.

It is an arithmetic number, because the mean of its divisors is an integer number (2062593).

Almost surely, 234904430 is an apocalyptic number.

34904430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34904430 is an abundant number, since it is smaller than the sum of its proper divisors (64100034).

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

34904430 is a wasteful number, since it uses less digits than its factorization.

34904430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35281 (or 35278 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34904430 is about 5907.9971225450. The cubic root of 34904430 is about 326.8086302764.

The spelling of 34904430 in words is "thirty-four million, nine hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 35257 70514 105771 176285 211542 317313 352570 387827 528855 634626 775654 1057710 1163481 1586565 1939135 2326962 3173130 3490443 3878270 5817405 6980886 11634810 17452215 34904430