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30291340608 = 263419929363
BaseRepresentation
bin11100001101100000…
…010010110101000000
32220012001111112120000
4130031200102311000
5444014040344413
621525440320000
72121435101244
oct341540226500
986161445500
1030291340608
11119347435a1
125a54613000
132b198505a9
141675006424
15bc44c7073
hex70d812d40

30291340608 has 140 divisors (see below), whose sum is σ = 90247317600. Its totient is φ = 10046032128.

The previous prime is 30291340603. The next prime is 30291340619. The reversal of 30291340608 is 80604319203.

30291340608 is a `hidden beast` number, since 3 + 0 + 2 + 9 + 1 + 3 + 40 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30291340603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1016935 + ... + 1046297.

Almost surely, 230291340608 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 30291340608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45123658800).

30291340608 is an abundant number, since it is smaller than the sum of its proper divisors (59955976992).

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

30291340608 is a wasteful number, since it uses less digits than its factorization.

30291340608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29586 (or 29567 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 30291340608 in words is "thirty billion, two hundred ninety-one million, three hundred forty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 199 216 288 324 398 432 576 597 648 796 864 1194 1296 1592 1728 1791 2388 2592 3184 3582 4776 5184 5373 6368 7164 9552 10746 12736 14328 16119 19104 21492 28656 29363 32238 38208 42984 57312 58726 64476 85968 88089 114624 117452 128952 171936 176178 234904 257904 264267 343872 352356 469808 515808 528534 704712 792801 939616 1031616 1057068 1409424 1585602 1879232 2114136 2378403 2818848 3171204 4228272 4756806 5637696 5843237 6342408 8456544 9513612 11686474 12684816 16913088 17529711 19027224 23372948 25369632 35059422 38054448 46745896 50739264 52589133 70118844 76108896 93491792 105178266 140237688 152217792 157767399 186983584 210356532 280475376 315534798 373967168 420713064 473302197 560950752 631069596 841426128 946604394 1121901504 1262139192 1682852256 1893208788 2524278384 3365704512 3786417576 5048556768 7572835152 10097113536 15145670304 30291340608