Search a number
-
+
30744420 = 22357711031
BaseRepresentation
bin111010101000…
…1111101100100
32010211222102020
41311101331210
530332310140
63014543140
7522215610
oct165217544
963758366
1030744420
1116399813
12a367ab0
1364a5a85
144124340
152a746d0
hex1d51f64

30744420 has 96 divisors (see below), whose sum is σ = 99864576. Its totient is φ = 6921600.

The previous prime is 30744407. The next prime is 30744421. The reversal of 30744420 is 2444703.

It is a super-2 number, since 2×307444202 = 1890438722272800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30744421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29305 + ... + 30335.

It is an arithmetic number, because the mean of its divisors is an integer number (1040256).

Almost surely, 230744420 is an apocalyptic number.

30744420 is a gapful number since it is divisible by the number (30) 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 30744420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49932288).

30744420 is an abundant number, since it is smaller than the sum of its proper divisors (69120156).

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

30744420 is a wasteful number, since it uses less digits than its factorization.

30744420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 30744420 is about 5544.7650987215. The cubic root of 30744420 is about 313.2723763518.

The spelling of 30744420 in words is "thirty million, seven hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 71 84 105 140 142 210 213 284 355 420 426 497 710 852 994 1031 1065 1420 1491 1988 2062 2130 2485 2982 3093 4124 4260 4970 5155 5964 6186 7217 7455 9940 10310 12372 14434 14910 15465 20620 21651 28868 29820 30930 36085 43302 61860 72170 73201 86604 108255 144340 146402 216510 219603 292804 366005 433020 439206 512407 732010 878412 1024814 1098015 1464020 1537221 2049628 2196030 2562035 3074442 4392060 5124070 6148884 7686105 10248140 15372210 30744420