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29903340 = 223517191543
BaseRepresentation
bin111001000010…
…0100111101100
32002021020200010
41302010213230
530123401330
62544533220
7512113515
oct162044754
962236603
1029903340
1115974905
12a021210
13626ccac
143d85a0c
15295a3b0
hex1c849ec

29903340 has 96 divisors (see below), whose sum is σ = 93381120. Its totient is φ = 7105536.

The previous prime is 29903339. The next prime is 29903351. The reversal of 29903340 is 4330992.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 29903298 and 29903307.

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, 18609 + ... + 20151.

It is an arithmetic number, because the mean of its divisors is an integer number (972720).

Almost surely, 229903340 is an apocalyptic number.

29903340 is a gapful number since it is divisible by the number (20) 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 29903340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46690560).

29903340 is an abundant number, since it is smaller than the sum of its proper divisors (63477780).

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

29903340 is a wasteful number, since it uses less digits than its factorization.

29903340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 29903340 is about 5468.3946455976. The cubic root of 29903340 is about 310.3891747695.

The spelling of 29903340 in words is "twenty-nine million, nine hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 323 340 380 510 570 646 969 1020 1140 1292 1543 1615 1938 3086 3230 3876 4629 4845 6172 6460 7715 9258 9690 15430 18516 19380 23145 26231 29317 30860 46290 52462 58634 78693 87951 92580 104924 117268 131155 146585 157386 175902 262310 293170 314772 351804 393465 439755 498389 524620 586340 786930 879510 996778 1495167 1573860 1759020 1993556 2491945 2990334 4983890 5980668 7475835 9967780 14951670 29903340