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123738342 = 237131713331
BaseRepresentation
bin1110110000000…
…01100011100110
322121211120002120
413120001203212
5223134111332
620140050410
73031521120
oct730014346
9277746076
10123738342
11639354a2
1235533a06
131c835670
1412610210
15ace332c
hex76018e6

123738342 has 64 divisors (see below), whose sum is σ = 322527744. Its totient is φ = 30712320.

The previous prime is 123738337. The next prime is 123738343. The reversal of 123738342 is 243837321.

It is a super-2 number, since 2×1237383422 = 30622354561817928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123738343) 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, 2617 + ... + 15947.

It is an arithmetic number, because the mean of its divisors is an integer number (5039496).

Almost surely, 2123738342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123738342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161263872).

123738342 is an abundant number, since it is smaller than the sum of its proper divisors (198789402).

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

123738342 is a wasteful number, since it uses less digits than its factorization.

123738342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13373.

The product of its digits is 24192, while the sum is 33.

The square root of 123738342 is about 11123.7737301691. The cubic root of 123738342 is about 498.3120977169.

The spelling of 123738342 in words is "one hundred twenty-three million, seven hundred thirty-eight thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 238 273 357 442 546 663 714 1326 1547 3094 4641 9282 13331 26662 39993 79986 93317 173303 186634 226627 279951 346606 453254 519909 559902 679881 1039818 1213121 1359762 1586389 2426242 2946151 3172778 3639363 4759167 5892302 7278726 8838453 9518334 17676906 20623057 41246114 61869171 123738342