Search a number
-
+
454014480 = 243523233353
BaseRepresentation
bin11011000011111…
…011011000010000
31011122022022210010
4123003323120100
51412211430410
6113015034520
714152026243
oct3303733020
91148268703
10454014480
11213308887
1210806ba40
13730a402a
144442525a
1529cd2c20
hex1b0fb610

454014480 has 160 divisors (see below), whose sum is σ = 1479119616. Its totient is φ = 114982912.

The previous prime is 454014469. The next prime is 454014487. The reversal of 454014480 is 84410454.

It is a super-2 number, since 2×4540144802 = 412258296099340800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (454014487) 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, 1285984 + ... + 1286336.

Almost surely, 2454014480 is an apocalyptic number.

454014480 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 454014480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739559808).

454014480 is an abundant number, since it is smaller than the sum of its proper divisors (1025105136).

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

454014480 is a wasteful number, since it uses less digits than its factorization.

454014480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 454014480 is about 21307.6155399895. The cubic root of 454014480 is about 768.5814552835.

The spelling of 454014480 in words is "four hundred fifty-four million, fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 233 240 276 345 353 368 460 466 552 690 699 706 920 932 1059 1104 1165 1380 1398 1412 1765 1840 1864 2118 2330 2760 2796 2824 3495 3530 3728 4236 4660 5295 5359 5520 5592 5648 6990 7060 8119 8472 9320 10590 10718 11184 13980 14120 16077 16238 16944 18640 21180 21436 24357 26795 27960 28240 32154 32476 40595 42360 42872 48714 53590 55920 64308 64952 80385 81190 82249 84720 85744 97428 107180 121785 128616 129904 160770 162380 164498 194856 214360 243570 246747 257232 321540 324760 328996 389712 411245 428720 487140 493494 643080 649520 657992 822490 974280 986988 1233735 1286160 1315984 1644980 1891727 1948560 1973976 2467470 3289960 3783454 3947952 4934940 5675181 6579920 7566908 9458635 9869880 11350362 15133816 18917270 19739760 22700724 28375905 30267632 37834540 45401448 56751810 75669080 90802896 113503620 151338160 227007240 454014480