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4340477952 = 21232196197
BaseRepresentation
bin1000000101011011…
…00111000000000000
3102012111101010101200
410002231213000000
532342130243302
61554411301200
7212363311446
oct40255470000
912174333350
104340477952
1119280a5368
12a1174a800
13542322765
142d2662b96
151a60cc81c
hex102b67000

4340477952 has 156 divisors (see below), whose sum is σ = 13199632680. Its totient is φ = 1370456064.

The previous prime is 4340477941. The next prime is 4340478017. The reversal of 4340477952 is 2597740434.

It is a super-2 number, since 2×43404779522 = 37679497703596228608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4340477898 and 4340477907.

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, 697318 + ... + 703514.

It is an arithmetic number, because the mean of its divisors is an integer number (84613030).

Almost surely, 24340477952 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 4340477952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599816340).

4340477952 is an abundant number, since it is smaller than the sum of its proper divisors (8859154728).

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

4340477952 is a wasteful number, since it uses less digits than its factorization.

4340477952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6246 (or 6221 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 4340477952 is about 65882.3037848556. The cubic root of 4340477952 is about 1631.2199270802.

The spelling of 4340477952 in words is "four billion, three hundred forty million, four hundred seventy-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1024 1152 1216 1368 1536 1824 2048 2304 2432 2736 3072 3648 4096 4608 4864 5472 6144 6197 7296 9216 9728 10944 12288 12394 14592 18432 18591 19456 21888 24788 29184 36864 37182 38912 43776 49576 55773 58368 74364 77824 87552 99152 111546 116736 117743 148728 175104 198304 223092 233472 235486 297456 350208 353229 396608 446184 470972 594912 700416 706458 793216 892368 941944 1059687 1189824 1412916 1586432 1784736 1883888 2119374 2379648 2825832 3172864 3569472 3767776 4238748 4759296 5651664 6345728 7138944 7535552 8477496 9518592 11303328 12691456 14277888 15071104 16954992 19037184 22606656 25382912 28555776 30142208 33909984 38074368 45213312 57111552 60284416 67819968 76148736 90426624 114223104 120568832 135639936 180853248 228446208 241137664 271279872 361706496 482275328 542559744 723412992 1085119488 1446825984 2170238976 4340477952