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2334532956 = 2237174793413
BaseRepresentation
bin1000101100100110…
…0010010101011100
320000200211120011120
42023021202111130
514240120023311
61023353050540
7111565126350
oct21311422534
96020746146
102334532956
11a98868188
125519b6a50
132b2876462
1418209b460
15d9e43706
hex8b26255c

2334532956 has 96 divisors (see below), whose sum is σ = 6607319040. Its totient is φ = 626279424.

The previous prime is 2334532951. The next prime is 2334532961. The reversal of 2334532956 is 6592354332.

It is an interprime number because it is at equal distance from previous prime (2334532951) and next prime (2334532961).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2334532951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 682306 + ... + 685718.

It is an arithmetic number, because the mean of its divisors is an integer number (68826240).

Almost surely, 22334532956 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 2334532956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303659520).

2334532956 is an abundant number, since it is smaller than the sum of its proper divisors (4272786084).

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

2334532956 is a wasteful number, since it uses less digits than its factorization.

2334532956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923 (or 3921 counting only the distinct ones).

The product of its digits is 583200, while the sum is 42.

The square root of 2334532956 is about 48317.0048326673. The cubic root of 2334532956 is about 1326.5796668901.

The spelling of 2334532956 in words is "two billion, three hundred thirty-four million, five hundred thirty-two thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 479 714 958 1428 1437 1916 2874 3353 3413 5748 6706 6826 8143 10059 10239 13412 13652 16286 20118 20478 23891 24429 32572 40236 40956 47782 48858 57001 58021 71673 95564 97716 114002 116042 143346 171003 174063 228004 232084 286692 342006 348126 406147 684012 696252 812294 1218441 1624588 1634827 2436882 3269654 4873764 4904481 6539308 9808962 11443789 19617924 22887578 27792059 34331367 45775156 55584118 68662734 83376177 111168236 137325468 166752354 194544413 333504708 389088826 583633239 778177652 1167266478 2334532956