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30419376 = 2431329412
BaseRepresentation
bin111010000001…
…0100110110000
32010020110112120
41310002212300
530241410001
63003554240
7516363141
oct164024660
963213476
1030419376
1116197589
12a22b980
1363c0b40
14407bac8
152a0d236
hex1d029b0

30419376 has 120 divisors (see below), whose sum is σ = 89733840. Its totient is φ = 8816640.

The previous prime is 30419371. The next prime is 30419381. The reversal of 30419376 is 67391403.

It is an interprime number because it is at equal distance from previous prime (30419371) and next prime (30419381).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30419371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741916 + ... + 741956.

It is an arithmetic number, because the mean of its divisors is an integer number (747782).

Almost surely, 230419376 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 30419376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44866920).

30419376 is an abundant number, since it is smaller than the sum of its proper divisors (59314464).

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

30419376 is a wasteful number, since it uses less digits than its factorization.

30419376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 30419376 is about 5515.3763244225. The cubic root of 30419376 is about 312.1644432276.

The spelling of 30419376 in words is "thirty million, four hundred nineteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 41 48 52 58 78 82 87 104 116 123 156 164 174 208 232 246 312 328 348 377 464 492 533 624 656 696 754 984 1066 1131 1189 1392 1508 1599 1681 1968 2132 2262 2378 3016 3198 3362 3567 4264 4524 4756 5043 6032 6396 6724 7134 8528 9048 9512 10086 12792 13448 14268 15457 18096 19024 20172 21853 25584 26896 28536 30914 40344 43706 46371 48749 57072 61828 65559 80688 87412 92742 97498 123656 131118 146247 174824 185484 194996 247312 262236 292494 349648 370968 389992 524472 584988 633737 741936 779984 1048944 1169976 1267474 1901211 2339952 2534948 3802422 5069896 7604844 10139792 15209688 30419376