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4734072 = 2333731101
BaseRepresentation
bin10010000011110001111000
322220111221000
4102003301320
52202442242
6245245000
755144650
oct22036170
98814830
104734072
112743862
121703760
13c99a35
148b3360
15637a4c
hex483c78

4734072 has 128 divisors (see below), whose sum is σ = 15667200. Its totient is φ = 1296000.

The previous prime is 4734061. The next prime is 4734073. The reversal of 4734072 is 2704374.

It is a super-2 number, since 2×47340722 = 44822875402368, which contains 22 as substring.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4734073) 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, 46822 + ... + 46922.

It is an arithmetic number, because the mean of its divisors is an integer number (122400).

Almost surely, 24734072 is an apocalyptic number.

4734072 is a gapful number since it is divisible by the number (42) 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 4734072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7833600).

4734072 is an abundant number, since it is smaller than the sum of its proper divisors (10933128).

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

4734072 is a wasteful number, since it uses less digits than its factorization.

4734072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 4734072 is about 2175.7922694963. The cubic root of 4734072 is about 167.9106667916.

The spelling of 4734072 in words is "four million, seven hundred thirty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 84 93 101 108 124 126 168 186 189 202 216 217 248 252 279 303 372 378 404 434 504 558 606 651 707 744 756 808 837 868 909 1116 1212 1302 1414 1512 1674 1736 1818 1953 2121 2232 2424 2604 2727 2828 3131 3348 3636 3906 4242 5208 5454 5656 5859 6262 6363 6696 7272 7812 8484 9393 10908 11718 12524 12726 15624 16968 18786 19089 21816 21917 23436 25048 25452 28179 37572 38178 43834 46872 50904 56358 65751 75144 76356 84537 87668 112716 131502 152712 169074 175336 197253 225432 263004 338148 394506 526008 591759 676296 789012 1183518 1578024 2367036 4734072