Search a number
-
+
2335264464 = 2431319613229
BaseRepresentation
bin1000101100110001…
…0100111011010000
320000202012201121110
42023030110323100
514240311430324
61023420453320
7111604264131
oct21314247320
96022181543
102335264464
11a99217835
125520aa240
132b2a713c0
1418220bc88
15da03a329
hex8b314ed0

2335264464 has 160 divisors (see below), whose sum is σ = 6953027200. Its totient is φ = 669358080.

The previous prime is 2335264453. The next prime is 2335264493. The reversal of 2335264464 is 4644625332.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721602 + ... + 724830.

It is an arithmetic number, because the mean of its divisors is an integer number (43456420).

Almost surely, 22335264464 is an apocalyptic number.

2335264464 is a gapful number since it is divisible by the number (24) 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 2335264464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476513600).

2335264464 is an abundant number, since it is smaller than the sum of its proper divisors (4617762736).

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

2335264464 is a wasteful number, since it uses less digits than its factorization.

2335264464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333 (or 3327 counting only the distinct ones).

The product of its digits is 414720, while the sum is 39.

The square root of 2335264464 is about 48324.5741212481. The cubic root of 2335264464 is about 1326.7182102760.

Adding to 2335264464 its reverse (4644625332), we get a palindrome (6979889796).

The spelling of 2335264464 in words is "two billion, three hundred thirty-five million, two hundred sixty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 61 76 78 104 114 122 152 156 183 208 228 244 247 304 312 366 456 488 494 624 732 741 793 912 976 988 1159 1464 1482 1586 1976 2318 2379 2928 2964 3172 3229 3477 3952 4636 4758 5928 6344 6458 6954 9272 9516 9687 11856 12688 12916 13908 15067 18544 19032 19374 25832 27816 30134 38064 38748 41977 45201 51664 55632 60268 61351 77496 83954 90402 120536 122702 125931 154992 167908 180804 184053 196969 241072 245404 251862 335816 361608 368106 393938 490808 503724 590907 671632 723216 736212 787876 797563 981616 1007448 1181814 1472424 1575752 1595126 2014896 2363628 2392689 2560597 2944848 3151504 3190252 3742411 4727256 4785378 5121194 6380504 7484822 7681791 9454512 9570756 10242388 11227233 12761008 14969644 15363582 19141512 20484776 22454466 29939288 30727164 38283024 40969552 44908932 48651343 59878576 61454328 89817864 97302686 122908656 145954029 179635728 194605372 291908058 389210744 583816116 778421488 1167632232 2335264464