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30984954 = 23721121367
BaseRepresentation
bin111011000110…
…0101011111010
32011022012100220
41312030223322
530413004304
63024040510
7524240100
oct166145372
964265326
1030984954
1116543500
12a463136
13655b3c0
144187c70
152ac0ad9
hex1d8cafa

30984954 has 144 divisors (see below), whose sum is σ = 86605344. Its totient is φ = 7318080.

The previous prime is 30984929. The next prime is 30984959. The reversal of 30984954 is 45948903.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30984959) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 462429 + ... + 462495.

It is an arithmetic number, because the mean of its divisors is an integer number (601426).

Almost surely, 230984954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30984954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43302672).

30984954 is an abundant number, since it is smaller than the sum of its proper divisors (55620390).

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

30984954 is a wasteful number, since it uses less digits than its factorization.

30984954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 30984954 is about 5566.4130281538. The cubic root of 30984954 is about 314.0872342046.

30984954 divided by its sum of digits (42) gives a palindrome (737737).

It can be divided in two parts, 309849 and 54, that added together give a palindrome (309903).

The spelling of 30984954 in words is "thirty million, nine hundred eighty-four thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 49 66 67 77 78 91 98 121 134 143 147 154 182 201 231 242 273 286 294 363 402 429 462 469 539 546 637 726 737 847 858 871 938 1001 1078 1274 1407 1474 1573 1617 1694 1742 1911 2002 2211 2541 2613 2814 3003 3146 3234 3283 3822 4422 4719 5082 5159 5226 5929 6006 6097 6566 7007 8107 9438 9581 9849 10318 11011 11858 12194 14014 15477 16214 17787 18291 19162 19698 21021 22022 24321 28743 30954 33033 35574 36113 36582 42042 42679 48642 56749 57486 66066 67067 72226 77077 85358 105391 108339 113498 128037 134134 154154 170247 201201 210782 216678 231231 256074 316173 340494 397243 402402 462462 469469 632346 737737 794486 938938 1191729 1408407 1475474 2213211 2383458 2816814 4426422 5164159 10328318 15492477 30984954