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3453303040 = 28511594157
BaseRepresentation
bin1100110111010101…
…0011100100000000
322220122222222012121
43031311103210000
524033021144130
61330400134024
7151401406615
oct31565234400
98818888177
103453303040
111512332760
12804607314
134305997a5
1424a8c450c
15153285d7a
hexcdd53900

3453303040 has 144 divisors (see below), whose sum is σ = 9178868160. Its totient is φ = 1234165760.

The previous prime is 3453303013. The next prime is 3453303047. The reversal of 3453303040 is 403033543.

It is a junction number, because it is equal to n+sod(n) for n = 3453302996 and 3453303014.

It is not an unprimeable number, because it can be changed into a prime (3453303047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 828642 + ... + 832798.

It is an arithmetic number, because the mean of its divisors is an integer number (63742140).

Almost surely, 23453303040 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 3453303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4589434080).

3453303040 is an abundant number, since it is smaller than the sum of its proper divisors (5725565120).

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

3453303040 is a wasteful number, since it uses less digits than its factorization.

3453303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4248 (or 4234 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 25.

The square root of 3453303040 is about 58764.8112393803. The cubic root of 3453303040 is about 1511.5118755051.

Adding to 3453303040 its reverse (403033543), we get a palindrome (3856336583).

The spelling of 3453303040 in words is "three billion, four hundred fifty-three million, three hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 59 64 80 88 110 118 128 160 176 220 236 256 295 320 352 440 472 590 640 649 704 880 944 1180 1280 1298 1408 1760 1888 2360 2596 2816 3245 3520 3776 4157 4720 5192 6490 7040 7552 8314 9440 10384 12980 14080 15104 16628 18880 20768 20785 25960 33256 37760 41536 41570 45727 51920 66512 75520 83072 83140 91454 103840 133024 166144 166280 182908 207680 228635 245263 266048 332560 365816 415360 457270 490526 532096 665120 731632 830720 914540 981052 1064192 1226315 1330240 1463264 1829080 1962104 2452630 2660480 2697893 2926528 3658160 3924208 4905260 5320960 5395786 5853056 7316320 7848416 9810520 10791572 11706112 13489465 14632640 15696832 19621040 21583144 26978930 29265280 31393664 39242080 43166288 53957860 58530560 62787328 78484160 86332576 107915720 156968320 172665152 215831440 313936640 345330304 431662880 690660608 863325760 1726651520 3453303040