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34506472 = 237111331139
BaseRepresentation
bin1000001110100…
…0011011101000
32101221002222111
42003220123220
532313201342
63231332104
7566204650
oct203503350
971832874
1034506472
1118529250
12b681034
1371c2240
144823360
153069217
hex20e86e8

34506472 has 128 divisors (see below), whose sum is σ = 90316800. Its totient is φ = 11923200.

The previous prime is 34506469. The next prime is 34506487. The reversal of 34506472 is 27460543.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248179 + ... + 248317.

It is an arithmetic number, because the mean of its divisors is an integer number (705600).

Almost surely, 234506472 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 34506472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45158400).

34506472 is an abundant number, since it is smaller than the sum of its proper divisors (55810328).

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

34506472 is a wasteful number, since it uses less digits than its factorization.

34506472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 34506472 is about 5874.2209696265. The cubic root of 34506472 is about 325.5618588698.

The spelling of 34506472 in words is "thirty-four million, five hundred six thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 31 44 52 56 62 77 88 91 104 124 139 143 154 182 217 248 278 286 308 341 364 403 434 556 572 616 682 728 806 868 973 1001 1112 1144 1364 1529 1612 1736 1807 1946 2002 2387 2728 2821 3058 3224 3614 3892 4004 4309 4433 4774 5642 6116 7228 7784 8008 8618 8866 9548 10703 11284 12232 12649 14456 17236 17732 19096 19877 21406 22568 25298 30163 31031 34472 35464 39754 42812 47399 50596 56017 60326 62062 79508 85624 94798 101192 112034 120652 124124 139139 159016 189596 224068 241304 248248 278278 331793 379192 392119 448136 556556 616187 663586 784238 1113112 1232374 1327172 1568476 2464748 2654344 3136952 4313309 4929496 8626618 17253236 34506472