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120314334 = 23723592111
BaseRepresentation
bin1110010101111…
…01100111011110
322101101121020110
413022331213132
5221300024314
615534430450
72660440440
oct712754736
9271347213
10120314334
1161a06a38
1234362426
131bc0701a
1411d9c490
15a868a59
hex72bd9de

120314334 has 64 divisors (see below), whose sum is σ = 291962880. Its totient is φ = 32308320.

The previous prime is 120314329. The next prime is 120314353. The reversal of 120314334 is 433413021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 120314334.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55939 + ... + 58049.

It is an arithmetic number, because the mean of its divisors is an integer number (4561920).

Almost surely, 2120314334 is an apocalyptic number.

120314334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120314334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145981440).

120314334 is an abundant number, since it is smaller than the sum of its proper divisors (171648546).

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

120314334 is a wasteful number, since it uses less digits than its factorization.

120314334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 120314334 is about 10968.7890854004. The cubic root of 120314334 is about 493.6727139834.

Adding to 120314334 its reverse (433413021), we get a palindrome (553727355).

The spelling of 120314334 in words is "one hundred twenty million, three hundred fourteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 59 69 118 138 161 177 322 354 413 483 826 966 1239 1357 2111 2478 2714 4071 4222 6333 8142 9499 12666 14777 18998 28497 29554 44331 48553 56994 88662 97106 124549 145659 249098 291318 339871 373647 679742 747294 871843 1019613 1743686 2039226 2615529 2864627 5231058 5729254 8593881 17187762 20052389 40104778 60157167 120314334