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4734840 = 23351117211
BaseRepresentation
bin10010000011111101111000
322220112222110
4102003331320
52203003330
6245252320
755150125
oct22037570
98815873
104734840
1127443a0
1217040a0
13c9a1a6
148b374c
15637db0
hex483f78

4734840 has 128 divisors (see below), whose sum is σ = 16485120. Its totient is φ = 1075200.

The previous prime is 4734839. The next prime is 4734841. The reversal of 4734840 is 484374.

It is an interprime number because it is at equal distance from previous prime (4734839) and next prime (4734841).

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 = 4734798 and 4734807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4734841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22335 + ... + 22545.

It is an arithmetic number, because the mean of its divisors is an integer number (128790).

Almost surely, 24734840 is an apocalyptic number.

4734840 is a gapful number since it is divisible by the number (40) 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 4734840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8242560).

4734840 is an abundant number, since it is smaller than the sum of its proper divisors (11750280).

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

4734840 is a wasteful number, since it uses less digits than its factorization.

4734840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 4734840 is about 2175.9687497756. The cubic root of 4734840 is about 167.9197462493.

The spelling of 4734840 in words is "four million, seven hundred thirty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 211 220 255 264 330 340 374 408 422 440 510 561 633 660 680 748 844 935 1020 1055 1122 1266 1320 1496 1688 1870 2040 2110 2244 2321 2532 2805 3165 3587 3740 4220 4488 4642 5064 5610 6330 6963 7174 7480 8440 9284 10761 11220 11605 12660 13926 14348 17935 18568 21522 22440 23210 25320 27852 28696 34815 35870 39457 43044 46420 53805 55704 69630 71740 78914 86088 92840 107610 118371 139260 143480 157828 197285 215220 236742 278520 315656 394570 430440 473484 591855 789140 946968 1183710 1578280 2367420 4734840