Search a number
-
+
300308404080 = 243517355720693
BaseRepresentation
bin1000101111010111100…
…01101001011101110000
31001201011000020120121110
410113223301221131300
514410012422412310
6345543151153320
730460631213526
oct4275361513560
91051130216543
10300308404080
111063a62a0903
124a250815840
132241b9aca29
141076c0a2316
157c297ccd20
hex45ebc69770

300308404080 has 160 divisors (see below), whose sum is σ = 986042942784. Its totient is φ = 75346690048.

The previous prime is 300308404049. The next prime is 300308404127. The reversal of 300308404080 is 80404803003.

It is a super-2 number, since 2×3003084040802 (a number of 24 digits) contains 22 as substring.

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

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, 14502214 + ... + 14522906.

Almost surely, 2300308404080 is an apocalyptic number.

300308404080 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 300308404080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493021471392).

300308404080 is an abundant number, since it is smaller than the sum of its proper divisors (685734538704).

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

300308404080 is a wasteful number, since it uses less digits than its factorization.

300308404080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24283 (or 24277 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 300308404080 in words is "three hundred billion, three hundred eight million, four hundred four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 3557 4080 7114 10671 14228 17785 20693 21342 28456 35570 41386 42684 53355 56912 60469 62079 71140 82772 85368 103465 106710 120938 124158 142280 165544 170736 181407 206930 213420 241876 248316 284560 302345 310395 331088 351781 362814 413860 426840 483752 496632 604690 620790 703562 725628 827720 853680 907035 967504 993264 1055343 1209380 1241580 1407124 1451256 1655440 1758905 1814070 2110686 2418760 2483160 2814248 2902512 3517810 3628140 4221372 4837520 4966320 5276715 5628496 7035620 7256280 8442744 10553430 14071240 14512560 16885488 21106860 28142480 42213720 73605001 84427440 147210002 220815003 294420004 368025005 441630006 588840008 736050010 883260012 1104075015 1177680016 1251285017 1472100020 1766520024 2208150030 2502570034 2944200040 3533040048 3753855051 4416300060 5005140068 5888400080 6256425085 7507710102 8832600120 10010280136 12512850170 15015420204 17665200240 18769275255 20020560272 25025700340 30030840408 37538550510 50051400680 60061680816 75077101020 100102801360 150154202040 300308404080