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30341376 = 2832131013
BaseRepresentation
bin111001110111…
…1100100000000
32010002111112200
41303233210000
530231411001
63002153200
7515616552
oct163574400
963074480
1030341376
1116143a1a
12a1b2800
1363944a0
14405b4d2
1529e5086
hex1cef900

30341376 has 108 divisors (see below), whose sum is σ = 94304028. Its totient is φ = 9326592.

The previous prime is 30341371. The next prime is 30341401. The reversal of 30341376 is 67314303.

30341376 = 1012 + 1022 + ... + 4512.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1440000 + 28901376 = 1200^2 + 5376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30341371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29446 + ... + 30458.

Almost surely, 230341376 is an apocalyptic number.

30341376 is a gapful number since it is divisible by the number (36) 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 30341376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47152014).

30341376 is an abundant number, since it is smaller than the sum of its proper divisors (63962652).

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

30341376 is a wasteful number, since it uses less digits than its factorization.

30341376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 30341376 is about 5508.3006453896. The cubic root of 30341376 is about 311.8974021629.

Adding to 30341376 its reverse (67314303), we get a palindrome (97655679).

The spelling of 30341376 in words is "thirty million, three hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1013 1152 1248 1664 1872 2026 2304 2496 3039 3328 3744 4052 4992 6078 7488 8104 9117 9984 12156 13169 14976 16208 18234 24312 26338 29952 32416 36468 39507 48624 52676 64832 72936 79014 97248 105352 118521 129664 145872 158028 194496 210704 237042 259328 291744 316056 388992 421408 474084 583488 632112 777984 842816 948168 1166976 1264224 1685632 1896336 2333952 2528448 3371264 3792672 5056896 7585344 10113792 15170688 30341376