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234109953 = 33711229353
BaseRepresentation
bin11011111010000…
…11110000000001
3121022112000111000
431331003300001
5434413004303
635121442213
75541621210
oct1575036001
9538460430
10234109953
11110170300
12664a0369
133966abcc
1423141077
1515845da3
hexdf43c01

234109953 has 96 divisors (see below), whose sum is σ = 451987200. Its totient is φ = 117089280.

The previous prime is 234109949. The next prime is 234109973. The reversal of 234109953 is 359901432.

It is a happy number.

It is not a de Polignac number, because 234109953 - 22 = 234109949 is a prime.

It is not an unprimeable number, because it can be changed into a prime (234109913) 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 95 ways as a sum of consecutive naturals, for example, 663025 + ... + 663377.

It is an arithmetic number, because the mean of its divisors is an integer number (4708200).

Almost surely, 2234109953 is an apocalyptic number.

It is an amenable number.

234109953 is a deficient number, since it is larger than the sum of its proper divisors (217877247).

234109953 is a wasteful number, since it uses less digits than its factorization.

234109953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 234109953 is about 15300.6520449293. The cubic root of 234109953 is about 616.3205177228.

The spelling of 234109953 in words is "two hundred thirty-four million, one hundred nine thousand, nine hundred fifty-three".

Divisors: 1 3 7 9 11 21 27 29 33 63 77 87 99 121 189 203 231 261 297 319 353 363 609 693 783 847 957 1059 1089 1827 2079 2233 2471 2541 2871 3177 3267 3509 3883 5481 6699 7413 7623 8613 9531 10237 10527 11649 20097 22239 22869 24563 27181 30711 31581 34947 42713 60291 66717 71659 73689 81543 92133 94743 104841 112607 128139 214977 221067 244629 276399 298991 337821 384417 644931 663201 733887 788249 896973 1013463 1153251 1238677 1934793 2364747 2690919 3040389 3716031 7094241 8072757 8670739 11148093 21282723 26012217 33444279 78036651 234109953