Search a number
-
+
742394688 = 2637311273
BaseRepresentation
bin101100010000000…
…000101101000000
31220201221120001120
4230100000231000
53010023112223
6201400032240
724253152000
oct5420005500
91821846046
10742394688
11351076132
12188762680
13baa63bc9
1470852000
1545298be3
hex2c400b40

742394688 has 112 divisors (see below), whose sum is σ = 2290876800. Its totient is φ = 212093952.

The previous prime is 742394599. The next prime is 742394689. The reversal of 742394688 is 886493247.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×7423946882 = 1102299745541234688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 742394688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742394689) 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, 60220 + ... + 71492.

Almost surely, 2742394688 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 742394688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145438400).

742394688 is an abundant number, since it is smaller than the sum of its proper divisors (1548482112).

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

742394688 is a wasteful number, since it uses less digits than its factorization.

742394688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11309 (or 11285 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The square root of 742394688 is about 27246.9207067514. The cubic root of 742394688 is about 905.4787971411.

The spelling of 742394688 in words is "seven hundred forty-two million, three hundred ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 1029 1176 1344 1372 1568 2058 2352 2744 3136 4116 4704 5488 8232 9408 10976 11273 16464 21952 22546 32928 33819 45092 65856 67638 78911 90184 135276 157822 180368 236733 270552 315644 360736 473466 541104 552377 631288 721472 946932 1082208 1104754 1262576 1657131 1893864 2164416 2209508 2525152 3314262 3787728 3866639 4419016 5050304 6628524 7575456 7733278 8838032 11599917 13257048 15150912 15466556 17676064 23199834 26514096 30933112 35352128 46399668 53028192 61866224 92799336 106056384 123732448 185598672 247464896 371197344 742394688