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112434432 = 2831113309
BaseRepresentation
bin1101011001110…
…01110100000000
321211120021001020
412230321310000
5212240400212
615053505440
72533451115
oct654716400
9254507036
10112434432
1158514720
12317a2280
131a3a8466
1410d0a90c
159d0dd8c
hex6b39d00

112434432 has 72 divisors (see below), whose sum is σ = 326467680. Its totient is φ = 34068480.

The previous prime is 112434397. The next prime is 112434433. The reversal of 112434432 is 234434211.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112434433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1794 + ... + 15102.

Almost surely, 2112434432 is an apocalyptic number.

112434432 is a gapful number since it is divisible by the number (12) 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 112434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163233840).

112434432 is an abundant number, since it is smaller than the sum of its proper divisors (214033248).

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

112434432 is a wasteful number, since it uses less digits than its factorization.

112434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13339 (or 13325 counting only the distinct ones).

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

The square root of 112434432 is about 10603.5103621395. The cubic root of 112434432 is about 482.6508885834.

Adding to 112434432 its reverse (234434211), we get a palindrome (346868643).

The spelling of 112434432 in words is "one hundred twelve million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 13309 26618 39927 53236 79854 106472 146399 159708 212944 292798 319416 425888 439197 585596 638832 851776 878394 1171192 1277664 1703552 1756788 2342384 2555328 3407104 3513576 4684768 5110656 7027152 9369536 10221312 14054304 18739072 28108608 37478144 56217216 112434432