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3052934040 = 23351313114939
BaseRepresentation
bin1011010111111000…
…0001001110011000
321212202122010012010
42311332001032120
522223022342130
61222534545520
7135440340222
oct26576011630
97782563163
103052934040
111327335592
127125082a0
13398659260
1420d665412
1512d04d0b0
hexb5f81398

3052934040 has 128 divisors (see below), whose sum is σ = 9939283200. Its totient is φ = 745704960.

The previous prime is 3052934011. The next prime is 3052934051. The reversal of 3052934040 is 404392503.

3052934040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 3052933989 and 3052934007.

It is a congruent number.

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, 196891 + ... + 211829.

It is an arithmetic number, because the mean of its divisors is an integer number (77650650).

Almost surely, 23052934040 is an apocalyptic number.

3052934040 is a gapful number since it is divisible by the number (30) 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 3052934040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969641600).

3052934040 is an abundant number, since it is smaller than the sum of its proper divisors (6886349160).

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

3052934040 is a wasteful number, since it uses less digits than its factorization.

3052934040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15097 (or 15093 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 3052934040 is about 55253.3622506359. The cubic root of 3052934040 is about 1450.6828396999.

The spelling of 3052934040 in words is "three billion, fifty-two million, nine hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 131 156 195 260 262 312 390 393 520 524 655 780 786 1048 1310 1560 1572 1703 1965 2620 3144 3406 3930 5109 5240 6812 7860 8515 10218 13624 14939 15720 17030 20436 25545 29878 34060 40872 44817 51090 59756 68120 74695 89634 102180 119512 149390 179268 194207 204360 224085 298780 358536 388414 448170 582621 597560 776828 896340 971035 1165242 1553656 1792680 1942070 1957009 2330484 2913105 3884140 3914018 4660968 5826210 5871027 7768280 7828036 9785045 11652420 11742054 15656072 19570090 23304840 23484108 25441117 29355135 39140180 46968216 50882234 58710270 76323351 78280360 101764468 117420540 127205585 152646702 203528936 234841080 254411170 305293404 381616755 508822340 610586808 763233510 1017644680 1526467020 3052934040