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34239672 = 233719103
BaseRepresentation
bin1000001010011…
…1010010111000
32101102120000000
42002213102320
532231132142
63221513000
7564014055
oct202472270
971376000
1034239672
1118366855
12b572760
13712a97c
14479402c
15301514c
hex20a74b8

34239672 has 128 divisors (see below), whose sum is σ = 102336000. Its totient is φ = 10707552.

The previous prime is 34239661. The next prime is 34239697. The reversal of 34239672 is 27693243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 332373 + ... + 332475.

It is an arithmetic number, because the mean of its divisors is an integer number (799500).

Almost surely, 234239672 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 34239672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51168000).

34239672 is an abundant number, since it is smaller than the sum of its proper divisors (68096328).

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

34239672 is a wasteful number, since it uses less digits than its factorization.

34239672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 34239672 is about 5851.4675082410. The cubic root of 34239672 is about 324.7206182849.

The spelling of 34239672 in words is "thirty-four million, two hundred thirty-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 103 108 114 152 162 171 206 216 228 243 309 324 342 412 456 486 513 618 648 684 729 824 927 972 1026 1236 1368 1458 1539 1854 1944 1957 2052 2187 2472 2781 2916 3078 3708 3914 4104 4374 4617 5562 5832 5871 6156 7416 7828 8343 8748 9234 11124 11742 12312 13851 15656 16686 17496 17613 18468 22248 23484 25029 27702 33372 35226 36936 41553 46968 50058 52839 55404 66744 70452 75087 83106 100116 105678 110808 140904 150174 158517 166212 200232 211356 225261 300348 317034 332424 422712 450522 475551 600696 634068 901044 951102 1268136 1426653 1802088 1902204 2853306 3804408 4279959 5706612 8559918 11413224 17119836 34239672