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402234120 = 233352316193
BaseRepresentation
bin10111111110011…
…001101100001000
31001000212121111000
4113332121230020
51310432442440
6103525135000
712652635141
oct2776315410
91030777430
10402234120
111970614a2
12b285a460
1365444472
143b5c6ac8
15254a5730
hex17f99b08

402234120 has 128 divisors (see below), whose sum is σ = 1399161600. Its totient is φ = 102592512.

The previous prime is 402233981. The next prime is 402234121. The reversal of 402234120 is 21432204.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 402234093 and 402234102.

It is not an unprimeable number, because it can be changed into a prime (402234121) 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, 16744 + ... + 32936.

It is an arithmetic number, because the mean of its divisors is an integer number (10930950).

Almost surely, 2402234120 is an apocalyptic number.

402234120 is a gapful number since it is divisible by the number (40) 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 402234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699580800).

402234120 is an abundant number, since it is smaller than the sum of its proper divisors (996927480).

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

402234120 is a wasteful number, since it uses less digits than its factorization.

402234120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16236 (or 16226 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 402234120 is about 20055.7752280983. The cubic root of 402234120 is about 738.1755151323.

Adding to 402234120 its reverse (21432204), we get a palindrome (423666324).

The spelling of 402234120 in words is "four hundred two million, two hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 540 552 621 690 828 920 1035 1080 1242 1380 1656 2070 2484 2760 3105 4140 4968 6210 8280 12420 16193 24840 32386 48579 64772 80965 97158 129544 145737 161930 194316 242895 291474 323860 372439 388632 437211 485790 582948 647720 728685 744878 874422 971580 1117317 1165896 1457370 1489756 1748844 1862195 1943160 2186055 2234634 2914740 2979512 3351951 3497688 3724390 4372110 4469268 5586585 5829480 6703902 7448780 8744220 8938536 10055853 11173170 13407804 14897560 16759755 17488440 20111706 22346340 26815608 33519510 40223412 44692680 50279265 67039020 80446824 100558530 134078040 201117060 402234120