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13418352 = 243389349
BaseRepresentation
bin110011001011…
…111101110000
3221020201112000
4303023331300
511413341402
61155334000
7222024363
oct63137560
927221460
1013418352
117635452
1245b1300
132a1a76c
141ad40da
1512a0c1c
hexccbf70

13418352 has 80 divisors (see below), whose sum is σ = 39060000. Its totient is φ = 4409856.

The previous prime is 13418347. The next prime is 13418369. The reversal of 13418352 is 25381431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38274 + ... + 38622.

It is an arithmetic number, because the mean of its divisors is an integer number (488250).

Almost surely, 213418352 is an apocalyptic number.

13418352 is a gapful number since it is divisible by the number (12) 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 13418352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19530000).

13418352 is an abundant number, since it is smaller than the sum of its proper divisors (25641648).

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

13418352 is a wasteful number, since it uses less digits than its factorization.

13418352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 443 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 13418352 is about 3663.1068780476. The cubic root of 13418352 is about 237.6291567117.

Adding to 13418352 its reverse (25381431), we get a palindrome (38799783).

The spelling of 13418352 in words is "thirteen million, four hundred eighteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 89 108 144 178 216 267 349 356 432 534 698 712 801 1047 1068 1396 1424 1602 2094 2136 2403 2792 3141 3204 4188 4272 4806 5584 6282 6408 8376 9423 9612 12564 12816 16752 18846 19224 25128 31061 37692 38448 50256 62122 75384 93183 124244 150768 186366 248488 279549 372732 496976 559098 745464 838647 1118196 1490928 1677294 2236392 3354588 4472784 6709176 13418352