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234100368 = 2435193169
BaseRepresentation
bin11011111010000…
…01011010010000
3121022111112100000
431331001122100
5434412202433
635121330000
75541551235
oct1575013220
9538445300
10234100368
11110164087
1266496900
1339666738
142313b78c
1515843113
hexdf41690

234100368 has 120 divisors (see below), whose sum is σ = 715405600. Its totient is φ = 73903104.

The previous prime is 234100367. The next prime is 234100381. The reversal of 234100368 is 863001432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (234100367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72288 + ... + 75456.

Almost surely, 2234100368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234100368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357702800).

234100368 is an abundant number, since it is smaller than the sum of its proper divisors (481305232).

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

234100368 is a wasteful number, since it uses less digits than its factorization.

234100368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 234100368 is about 15300.3388197778. The cubic root of 234100368 is about 616.3121064148.

The spelling of 234100368 in words is "two hundred thirty-four million, one hundred thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 513 648 684 912 972 1026 1296 1368 1539 1944 2052 2736 3078 3169 3888 4104 4617 6156 6338 8208 9234 9507 12312 12676 18468 19014 24624 25352 28521 36936 38028 50704 57042 60211 73872 76056 85563 114084 120422 152112 171126 180633 228168 240844 256689 342252 361266 456336 481688 513378 541899 684504 722532 770067 963376 1026756 1083798 1369008 1445064 1540134 1625697 2053512 2167596 2890128 3080268 3251394 4107024 4335192 4877091 6160536 6502788 8670384 9754182 12321072 13005576 14631273 19508364 26011152 29262546 39016728 58525092 78033456 117050184 234100368