Search a number
-
+
2354996644 = 22721113731151
BaseRepresentation
bin1000110001011110…
…0110010110100100
320002010100020001221
42030113212112210
514310334343034
61025403430124
7112234066300
oct21427462644
96063306057
102354996644
11aa9374920
12558825344
132b6b8c950
14184aa6d00
15dbb36bb4
hex8c5e65a4

2354996644 has 144 divisors (see below), whose sum is σ = 5714343936. Its totient is φ = 834624000.

The previous prime is 2354996641. The next prime is 2354996659. The reversal of 2354996644 is 4466994532.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 2354996591 and 2354996600.

It is not an unprimeable number, because it can be changed into a prime (2354996641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2045469 + ... + 2046619.

It is an arithmetic number, because the mean of its divisors is an integer number (39682944).

Almost surely, 22354996644 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 2354996644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857171968).

2354996644 is an abundant number, since it is smaller than the sum of its proper divisors (3359347292).

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

2354996644 is a wasteful number, since it uses less digits than its factorization.

2354996644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1257 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 52.

The square root of 2354996644 is about 48528.3076564596. The cubic root of 2354996644 is about 1330.4445051630. Note that the first 3 decimals are identical.

The spelling of 2354996644 in words is "two billion, three hundred fifty-four million, nine hundred ninety-six thousand, six hundred forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 73 77 91 98 143 146 154 182 196 286 292 308 364 511 539 572 637 803 949 1001 1022 1078 1151 1274 1606 1898 2002 2044 2156 2302 2548 3212 3577 3796 4004 4604 5621 6643 7007 7154 8057 10439 11242 12661 13286 14014 14308 14963 16114 20878 22484 25322 26572 28028 29926 32228 39347 41756 46501 50644 56399 59852 73073 78694 84023 88627 93002 104741 112798 146146 157388 164593 168046 177254 186004 209482 225596 292292 329186 336092 354508 418964 511511 588161 620389 658372 733187 924253 1023022 1092299 1152151 1176322 1240778 1466374 1848506 2046044 2184598 2304302 2352644 2481556 2932748 3697012 4117127 4369196 4608604 6469771 7646093 8065057 8234254 12015289 12939542 15292186 16130114 16468508 24030578 25879084 30584372 32260228 45288397 48061156 53522651 84107023 90576794 107045302 168214046 181153588 214090604 336428092 588749161 1177498322 2354996644