Search a number
-
+
30292440 = 23354147131
BaseRepresentation
bin111001110001…
…1100111011000
32010000000102020
41303203213120
530223324230
63001134440
7515324103
oct163434730
963000366
1030292440
1116110182
12a18a420
136378129
14404773a
1529d5810
hex1ce39d8

30292440 has 128 divisors (see below), whose sum is σ = 95800320. Its totient is φ = 7654400.

The previous prime is 30292433. The next prime is 30292447. The reversal of 30292440 is 4429203.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30292433) and next prime (30292447).

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

It is a self number, because there is not a number n which added to its sum of digits gives 30292440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30292447) 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, 231175 + ... + 231305.

It is an arithmetic number, because the mean of its divisors is an integer number (748440).

Almost surely, 230292440 is an apocalyptic number.

30292440 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 30292440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47900160).

30292440 is an abundant number, since it is smaller than the sum of its proper divisors (65507880).

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

30292440 is a wasteful number, since it uses less digits than its factorization.

30292440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 30292440 is about 5503.8568295333. The cubic root of 30292440 is about 311.7296309950.

The spelling of 30292440 in words is "thirty million, two hundred ninety-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 47 60 82 94 120 123 131 141 164 188 205 235 246 262 282 328 376 393 410 470 492 524 564 615 655 705 786 820 940 984 1048 1128 1230 1310 1410 1572 1640 1880 1927 1965 2460 2620 2820 3144 3854 3930 4920 5240 5371 5640 5781 6157 7708 7860 9635 10742 11562 12314 15416 15720 16113 18471 19270 21484 23124 24628 26855 28905 30785 32226 36942 38540 42968 46248 49256 53710 57810 61570 64452 73884 77080 80565 92355 107420 115620 123140 128904 147768 161130 184710 214840 231240 246280 252437 322260 369420 504874 644520 738840 757311 1009748 1262185 1514622 2019496 2524370 3029244 3786555 5048740 6058488 7573110 10097480 15146220 30292440