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306361104 = 243723291367
BaseRepresentation
bin10010010000101…
…011001100010000
3210100110202102120
4102100223030100
51111412023404
650222214240
710410012030
oct2220531420
9710422376
10306361104
11147a296a5
1286724380
134b61727a
142c98b8c0
151bd689d9
hex1242b310

306361104 has 160 divisors (see below), whose sum is σ = 977080320. Its totient is φ = 80779776.

The previous prime is 306361103. The next prime is 306361109. The reversal of 306361104 is 401163603.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (306361103) 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, 223429 + ... + 224795.

It is an arithmetic number, because the mean of its divisors is an integer number (6106752).

Almost surely, 2306361104 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 306361104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488540160).

306361104 is an abundant number, since it is smaller than the sum of its proper divisors (670719216).

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

306361104 is a wasteful number, since it uses less digits than its factorization.

306361104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 306361104 is about 17503.1741121432. The cubic root of 306361104 is about 674.1313776191.

The spelling of 306361104 in words is "three hundred six million, three hundred sixty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 29 42 46 48 56 58 69 84 87 92 112 116 138 161 168 174 184 203 232 276 322 336 348 368 406 464 483 552 609 644 667 696 812 966 1104 1218 1288 1334 1367 1392 1624 1932 2001 2436 2576 2668 2734 3248 3864 4002 4101 4669 4872 5336 5468 7728 8004 8202 9338 9569 9744 10672 10936 14007 16008 16404 18676 19138 21872 28014 28707 31441 32016 32808 37352 38276 39643 56028 57414 62882 65616 74704 76552 79286 94323 112056 114828 118929 125764 153104 158572 188646 220087 224112 229656 237858 251528 277501 317144 377292 440174 459312 475716 503056 555002 634288 660261 754584 832503 880348 911789 951432 1110004 1320522 1509168 1665006 1760696 1823578 1902864 2220008 2641044 2735367 3330012 3521392 3647156 4440016 5282088 5470734 6382523 6660024 7294312 10564176 10941468 12765046 13320048 14588624 19147569 21882936 25530092 38295138 43765872 51060184 76590276 102120368 153180552 306361104