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314133300 = 2232521326849
BaseRepresentation
bin10010101110010…
…100101100110100
3210220002121212200
4102232110230310
51120404231200
651100544500
710533042345
oct2256245464
9726077780
10314133300
11151357aa8
1289252130
1350108ac0
142da120cc
151c8a1800
hex12b94b34

314133300 has 108 divisors (see below), whose sum is σ = 1060413900. Its totient is φ = 77322240.

The previous prime is 314133299. The next prime is 314133301. The reversal of 314133300 is 3331413.

Adding to 314133300 its reverse (3331413), we get a palindrome (317464713).

It is an interprime number because it is at equal distance from previous prime (314133299) and next prime (314133301).

It can be written as a sum of positive squares in 6 ways, for example, as 60559524 + 253573776 = 7782^2 + 15924^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314133301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1725 + ... + 25124.

Almost surely, 2314133300 is an apocalyptic number.

314133300 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 314133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530206950).

314133300 is an abundant number, since it is smaller than the sum of its proper divisors (746280600).

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

314133300 is a wasteful number, since it uses less digits than its factorization.

314133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26882 (or 26872 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 314133300 is about 17723.8060246664. The cubic root of 314133300 is about 679.7846059436.

The spelling of 314133300 in words is "three hundred fourteen million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 26849 53698 80547 107396 134245 161094 241641 268490 322188 349037 402735 483282 536980 671225 698074 805470 966564 1047111 1208205 1342450 1396148 1610940 1745185 2013675 2094222 2416410 2684900 3141333 3490370 4027350 4188444 4832820 5235555 6041025 6282666 6980740 8054700 8725925 10471110 12082050 12565332 15706665 17451850 20942220 24164100 26177775 31413330 34903700 52355550 62826660 78533325 104711100 157066650 314133300