Search a number
-
+
742440 = 233523269
BaseRepresentation
bin10110101010000101000
31101201102210
42311100220
5142224230
623525120
76211356
oct2652050
91351383
10742440
11467896
122b97a0
131ccc1a
141547d6
15e9eb0
hexb5428

742440 has 64 divisors (see below), whose sum is σ = 2332800. Its totient is φ = 188672.

The previous prime is 742439. The next prime is 742457. The reversal of 742440 is 44247.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2626 + ... + 2894.

It is an arithmetic number, because the mean of its divisors is an integer number (36450).

2742440 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 742440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166400).

742440 is an abundant number, since it is smaller than the sum of its proper divisors (1590360).

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

742440 is a wasteful number, since it uses less digits than its factorization.

742440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 742440 is about 861.6495807461. The cubic root of 742440 is about 90.5497218708.

Adding to 742440 its reverse (44247), we get a palindrome (786687).

The spelling of 742440 in words is "seven hundred forty-two thousand, four hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 269 276 345 460 538 552 690 807 920 1076 1345 1380 1614 2152 2690 2760 3228 4035 5380 6187 6456 8070 10760 12374 16140 18561 24748 30935 32280 37122 49496 61870 74244 92805 123740 148488 185610 247480 371220 742440