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120344994 = 233711103281
BaseRepresentation
bin1110010110001…
…01000110100010
322101110011022000
413023011012202
5221302014434
615535224430
72660626020
oct713050642
9271404260
10120344994
1161a27a80
1234378116
131bc17c73
1411da9710
15a872b99
hex72c51a2

120344994 has 128 divisors (see below), whose sum is σ = 337858560. Its totient is φ = 30844800.

The previous prime is 120344971. The next prime is 120345011. The reversal of 120344994 is 499443021.

120344994 is a `hidden beast` number, since 1 + 203 + 449 + 9 + 4 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 428134 + ... + 428414.

It is an arithmetic number, because the mean of its divisors is an integer number (2639520).

Almost surely, 2120344994 is an apocalyptic number.

120344994 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 120344994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168929280).

120344994 is an abundant number, since it is smaller than the sum of its proper divisors (217513566).

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

120344994 is a wasteful number, since it uses less digits than its factorization.

120344994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 120344994 is about 10970.1865982307. The cubic root of 120344994 is about 493.7146450356.

The spelling of 120344994 in words is "one hundred twenty million, three hundred forty-four thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 103 126 154 189 198 206 231 281 297 309 378 462 562 594 618 693 721 843 927 1133 1386 1442 1686 1854 1967 2079 2163 2266 2529 2781 3091 3399 3934 4158 4326 5058 5562 5901 6182 6489 6798 7587 7931 9273 10197 11802 12978 15174 15862 17703 18546 19467 20394 21637 23793 27819 28943 30591 35406 38934 43274 47586 53109 55638 57886 61182 64911 71379 83457 86829 106218 129822 142758 166914 173658 194733 202601 214137 260487 318373 389466 405202 428274 520974 584199 607803 636746 781461 955119 1168398 1215606 1562922 1823409 1910238 2228611 2865357 3646818 4457222 5470227 5730714 6685833 8596071 10940454 13371666 17192142 20057499 40114998 60172497 120344994