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314213432 = 23138389409
BaseRepresentation
bin10010101110101…
…000010000111000
3210220020200210112
4102232220100320
51120414312212
651102403452
710533525101
oct2256502070
9726220715
10314213432
11151402225
1289290588
1350136410
142da333a8
151c8ba422
hex12ba8438

314213432 has 64 divisors (see below), whose sum is σ = 650916000. Its totient is φ = 141318144.

The previous prime is 314213423. The next prime is 314213437. The reversal of 314213432 is 234312413.

It is a junction number, because it is equal to n+sod(n) for n = 314213398 and 314213407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314213437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 768044 + ... + 768452.

Almost surely, 2314213432 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 314213432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325458000).

314213432 is an abundant number, since it is smaller than the sum of its proper divisors (336702568).

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

314213432 is a wasteful number, since it uses less digits than its factorization.

314213432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 596 counting only the distinct ones).

The product of its digits is 1728, while the sum is 23.

The square root of 314213432 is about 17726.0664559287. The cubic root of 314213432 is about 679.8424029244.

Adding to 314213432 its reverse (234312413), we get a palindrome (548525845).

The spelling of 314213432 in words is "three hundred fourteen million, two hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 83 89 104 166 178 332 356 409 664 712 818 1079 1157 1636 2158 2314 3272 4316 4628 5317 7387 8632 9256 10634 14774 21268 29548 33947 36401 42536 59096 67894 72802 96031 135788 145604 192062 271576 291208 384124 441311 473213 768248 882622 946426 1765244 1892852 3021283 3530488 3785704 6042566 12085132 24170264 39276679 78553358 157106716 314213432