Search a number
-
+
1230649344 = 21132179373
BaseRepresentation
bin100100101011010…
…0011100000000000
310011202200110112100
41021112203200000
510010021234334
6322041030400
742332226651
oct11126434000
93152613470
101230649344
11581740081
122a4185400
13167c65ba2
14b962b528
1573091c99
hex495a3800

1230649344 has 144 divisors (see below), whose sum is σ = 3583780200. Its totient is φ = 406831104.

The previous prime is 1230649337. The next prime is 1230649391. The reversal of 1230649344 is 4439460321.

It is a happy number.

1230649344 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 649 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1230649299 and 1230649308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3299142 + ... + 3299514.

Almost surely, 21230649344 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 1230649344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791890100).

1230649344 is an abundant number, since it is smaller than the sum of its proper divisors (2353130856).

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

1230649344 is a wasteful number, since it uses less digits than its factorization.

1230649344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 1230649344 is about 35080.6120813192. The cubic root of 1230649344 is about 1071.6297823099.

The spelling of 1230649344 in words is "one billion, two hundred thirty million, six hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 179 192 256 288 358 373 384 512 537 576 716 746 768 1024 1074 1119 1152 1432 1492 1536 1611 2048 2148 2238 2304 2864 2984 3072 3222 3357 4296 4476 4608 5728 5968 6144 6444 6714 8592 8952 9216 11456 11936 12888 13428 17184 17904 18432 22912 23872 25776 26856 34368 35808 45824 47744 51552 53712 66767 68736 71616 91648 95488 103104 107424 133534 137472 143232 183296 190976 200301 206208 214848 267068 274944 286464 366592 381952 400602 412416 429696 534136 549888 572928 600903 763904 801204 824832 859392 1068272 1099776 1145856 1201806 1602408 1649664 1718784 2136544 2291712 2403612 3204816 3299328 3437568 4273088 4807224 6409632 6875136 8546176 9614448 12819264 17092352 19228896 25638528 34184704 38457792 51277056 68369408 76915584 102554112 136738816 153831168 205108224 307662336 410216448 615324672 1230649344