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30620268 = 2234723587
BaseRepresentation
bin111010011001…
…1101001101100
32010121200010000
41310303221230
530314322033
63012144300
7521160630
oct164635154
963550100
1030620268
1116314508
12a308090
136461403
1440d0dc0
152a4ca13
hex1d33a6c

30620268 has 120 divisors (see below), whose sum is σ = 95622912. Its totient is φ = 8354016.

The previous prime is 30620237. The next prime is 30620269. The reversal of 30620268 is 86202603.

30620268 is a `hidden beast` number, since 30 + 620 + 2 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30620269) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51871 + ... + 52457.

Almost surely, 230620268 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 30620268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47811456).

30620268 is an abundant number, since it is smaller than the sum of its proper divisors (65002644).

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

30620268 is a wasteful number, since it uses less digits than its factorization.

30620268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 30620268 is about 5533.5583488385. The cubic root of 30620268 is about 312.8501223527.

The spelling of 30620268 in words is "thirty million, six hundred twenty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 81 84 92 108 126 138 161 162 189 207 252 276 322 324 378 414 483 567 587 621 644 756 828 966 1134 1174 1242 1449 1761 1863 1932 2268 2348 2484 2898 3522 3726 4109 4347 5283 5796 7044 7452 8218 8694 10566 12327 13041 13501 15849 16436 17388 21132 24654 26082 27002 31698 36981 40503 47547 49308 52164 54004 63396 73962 81006 94507 95094 110943 121509 147924 162012 189014 190188 221886 243018 283521 332829 364527 378028 443772 486036 567042 665658 729054 850563 1093581 1134084 1331316 1458108 1701126 2187162 2551689 3402252 4374324 5103378 7655067 10206756 15310134 30620268