Search a number
-
+
301450100 = 2252737103113
BaseRepresentation
bin10001111101111…
…100001101110100
3210000020020210112
4101331330031310
51104132400400
645525042152
710320166160
oct2175741564
9700206715
10301450100
11145184a16
1284b56358
134a5b7b53
142c06dca0
151b6e8835
hex11f7c374

301450100 has 144 divisors (see below), whose sum is σ = 782116608. Its totient is φ = 98703360.

The previous prime is 301450087. The next prime is 301450109. The reversal of 301450100 is 1054103.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301450109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2667644 + ... + 2667756.

Almost surely, 2301450100 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 301450100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391058304).

301450100 is an abundant number, since it is smaller than the sum of its proper divisors (480666508).

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

301450100 is a wasteful number, since it uses less digits than its factorization.

301450100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 301450100 is about 17362.3183935787. The cubic root of 301450100 is about 670.5098221067.

The spelling of 301450100 in words is "three hundred one million, four hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 103 113 140 148 175 185 206 226 259 350 370 412 452 515 518 565 700 721 740 791 925 1030 1036 1130 1295 1442 1582 1850 2060 2260 2575 2590 2825 2884 3164 3605 3700 3811 3955 4181 5150 5180 5650 6475 7210 7622 7910 8362 10300 11300 11639 12950 14420 15244 15820 16724 18025 19055 19775 20905 23278 25900 26677 29267 36050 38110 39550 41810 46556 53354 58195 58534 72100 76220 79100 81473 83620 95275 104525 106708 116390 117068 133385 146335 162946 190550 209050 232780 266770 290975 292670 325892 381100 407365 418100 430643 533540 581950 585340 666925 731675 814730 861286 1163900 1333850 1463350 1629460 1722572 2036825 2153215 2667700 2926700 3014501 4073650 4306430 6029002 8147300 8612860 10766075 12058004 15072505 21532150 30145010 43064300 60290020 75362525 150725050 301450100