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4344542000 = 245361149239
BaseRepresentation
bin1000000101111010…
…00111001100110000
3102012210000121012222
410002331013030300
532344200321000
61555034340212
7212442666131
oct40275071460
912183017188
104344542000
11192a420787
12a12b8a668
13543116516
142d2dddc88
151a6631a85
hex102f47330

4344542000 has 160 divisors (see below), whose sum is σ = 10793952000. Its totient is φ = 1690752000.

The previous prime is 4344541991. The next prime is 4344542017. The reversal of 4344542000 is 2454434.

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, 18177881 + ... + 18178119.

It is an arithmetic number, because the mean of its divisors is an integer number (67462200).

Almost surely, 24344542000 is an apocalyptic number.

4344542000 is a gapful number since it is divisible by the number (40) 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 4344542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396976000).

4344542000 is an abundant number, since it is smaller than the sum of its proper divisors (6449410000).

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

4344542000 is a wasteful number, since it uses less digits than its factorization.

4344542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 4344542000 is about 65913.1398129387. The cubic root of 4344542000 is about 1631.7288793338.

Adding to 4344542000 its reverse (2454434), we get a palindrome (4346996434).

The spelling of 4344542000 in words is "four billion, three hundred forty-four million, five hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 149 200 239 244 250 298 305 400 478 488 500 596 610 745 956 976 1000 1192 1195 1220 1490 1525 1912 2000 2384 2390 2440 2980 3050 3725 3824 4780 4880 5960 5975 6100 7450 7625 9089 9560 11920 11950 12200 14579 14900 15250 18178 18625 19120 23900 24400 29158 29800 29875 30500 35611 36356 37250 45445 47800 58316 59600 59750 61000 71222 72712 72895 74500 90890 95600 116632 119500 122000 142444 145424 145790 149000 178055 181780 227225 233264 239000 284888 291580 298000 356110 363560 364475 454450 478000 569776 583160 712220 727120 728950 890275 908900 1136125 1166320 1424440 1457900 1780550 1817800 1822375 2172271 2272250 2848880 2915800 3561100 3635600 3644750 4344542 4451375 4544500 5831600 7122200 7289500 8689084 8902750 9089000 10861355 14244400 14579000 17378168 17805500 18178000 21722710 29158000 34756336 35611000 43445420 54306775 71222000 86890840 108613550 173781680 217227100 271533875 434454200 543067750 868908400 1086135500 2172271000 4344542000