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34343730 = 2335311409
BaseRepresentation
bin1000001100000…
…0101100110010
32101121211202000
42003000230302
532242444410
63224034430
7564626331
oct203005462
971554660
1034343730
1118427a53
12b602a16
137166145
1447bdd18
153035dc0
hex20c0b32

34343730 has 64 divisors (see below), whose sum is σ = 92102400. Its totient is φ = 9106560.

The previous prime is 34343711. The next prime is 34343741. The reversal of 34343730 is 3734343.

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

It is a junction number, because it is equal to n+sod(n) for n = 34343694 and 34343703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83766 + ... + 84174.

It is an arithmetic number, because the mean of its divisors is an integer number (1439100).

Almost surely, 234343730 is an apocalyptic number.

34343730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34343730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46051200).

34343730 is an abundant number, since it is smaller than the sum of its proper divisors (57758670).

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

34343730 is a wasteful number, since it uses less digits than its factorization.

34343730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 27.

The square root of 34343730 is about 5860.3523784837. The cubic root of 34343730 is about 325.0492390880.

The spelling of 34343730 in words is "thirty-four million, three hundred forty-three thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 311 409 622 818 933 1227 1555 1866 2045 2454 2799 3110 3681 4090 4665 5598 6135 7362 8397 9330 11043 12270 13995 16794 18405 22086 27990 36810 41985 55215 83970 110430 127199 254398 381597 635995 763194 1144791 1271990 1907985 2289582 3434373 3815970 5723955 6868746 11447910 17171865 34343730