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234047440 = 24511317839
BaseRepresentation
bin11011111001101…
…00011111010000
3121022101211201201
431330310133100
5434404004230
635120240544
75541241024
oct1574643720
9538354651
10234047440
11110128340
1266470154
1339648613
1423126384
15158325ca
hexdf347d0

234047440 has 80 divisors (see below), whose sum is σ = 596211840. Its totient is φ = 84738560.

The previous prime is 234047419. The next prime is 234047447. The reversal of 234047440 is 44740432.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 234047399 and 234047408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234047447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278541 + ... + 279379.

It is an arithmetic number, because the mean of its divisors is an integer number (7452648).

Almost surely, 2234047440 is an apocalyptic number.

234047440 is a gapful number since it is divisible by the number (20) 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 234047440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298105920).

234047440 is an abundant number, since it is smaller than the sum of its proper divisors (362164400).

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

234047440 is a wasteful number, since it uses less digits than its factorization.

234047440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 28.

The square root of 234047440 is about 15298.6090871033. The cubic root of 234047440 is about 616.2656553617.

Adding to 234047440 its reverse (44740432), we get a palindrome (278787872).

The spelling of 234047440 in words is "two hundred thirty-four million, forty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 317 440 634 839 880 1268 1585 1678 2536 3170 3356 3487 4195 5072 6340 6712 6974 8390 9229 12680 13424 13948 16780 17435 18458 25360 27896 33560 34870 36916 46145 55792 67120 69740 73832 92290 139480 147664 184580 265963 278960 369160 531926 738320 1063852 1329815 2127704 2659630 2925593 4255408 5319260 5851186 10638520 11702372 14627965 21277040 23404744 29255930 46809488 58511860 117023720 234047440