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318412368 = 243223127757
BaseRepresentation
bin10010111110101…
…001011001010000
3211012011000122200
4102332221121100
51123003143433
651332403200
710614313641
oct2276513120
9735130580
10318412368
1115380aa1a
128a776500
1350c766b1
14304076c8
151ce49613
hex12fa9650

318412368 has 120 divisors (see below), whose sum is σ = 938416128. Its totient is φ = 100590336.

The previous prime is 318412361. The next prime is 318412427. The reversal of 318412368 is 863214813.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318412361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420246 + ... + 421002.

Almost surely, 2318412368 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 318412368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469208064).

318412368 is an abundant number, since it is smaller than the sum of its proper divisors (620003760).

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

318412368 is a wasteful number, since it uses less digits than its factorization.

318412368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 912 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 318412368 is about 17844.1129787950. The cubic root of 318412368 is about 682.8573308957.

It can be divided in two parts, 318 and 412368, that added together give a triangular number (412686 = T908).

The spelling of 318412368 in words is "three hundred eighteen million, four hundred twelve thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 127 138 144 184 207 254 276 368 381 414 508 552 757 762 828 1016 1104 1143 1514 1524 1656 2032 2271 2286 2921 3028 3048 3312 4542 4572 5842 6056 6096 6813 8763 9084 9144 11684 12112 13626 17411 17526 18168 18288 23368 26289 27252 34822 35052 36336 46736 52233 52578 54504 69644 70104 96139 104466 105156 109008 139288 140208 156699 192278 208932 210312 278576 288417 313398 384556 417864 420624 576834 626796 769112 835728 865251 1153668 1253592 1538224 1730502 2211197 2307336 2507184 3461004 4422394 4614672 6633591 6922008 8844788 13267182 13844016 17689576 19900773 26534364 35379152 39801546 53068728 79603092 106137456 159206184 318412368