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234104321400 = 233522389163321
BaseRepresentation
bin1101101000000110110…
…1000111010101111000
3211101021010120201101020
43122001231013111320
512313421201241100
6255313540022440
722625215620315
oct3320155072570
9741233521336
10234104321400
1190312871694
1239455091a20
13190cab00401
14b48b677d0c
15615257d5a0
hex3681b47578

234104321400 has 96 divisors (see below), whose sum is σ = 726031618800. Its totient is φ = 62401305600.

The previous prime is 234104321333. The next prime is 234104321413. The reversal of 234104321400 is 4123401432.

234104321400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1351740 + ... + 1515060.

Almost surely, 2234104321400 is an apocalyptic number.

234104321400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234104321400 is an abundant number, since it is smaller than the sum of its proper divisors (491927297400).

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

234104321400 is a wasteful number, since it uses less digits than its factorization.

234104321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165729 (or 165720 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 234104321400 its reverse (4123401432), we get a palindrome (238227722832).

The spelling of 234104321400 in words is "two hundred thirty-four billion, one hundred four million, three hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 2389 4778 7167 9556 11945 14334 19112 23890 28668 35835 47780 57336 59725 71670 95560 119450 143340 163321 179175 238900 286680 326642 358350 477800 489963 653284 716700 816605 979926 1306568 1433400 1633210 1959852 2449815 3266420 3919704 4083025 4899630 6532840 8166050 9799260 12249075 16332100 19598520 24498150 32664200 48996300 97992600 390173869 780347738 1170521607 1560695476 1950869345 2341043214 3121390952 3901738690 4682086428 5852608035 7803477380 9364172856 9754346725 11705216070 15606954760 19508693450 23410432140 29263040175 39017386900 46820864280 58526080350 78034773800 117052160700 234104321400