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352424000000 = 295644053
BaseRepresentation
bin1010010000011100001…
…10110111101000000000
31020200200000221011020202
411020032012313220000
521233231021000000
6425522405224332
734314252400442
oct5101606675000
91220600834222
10352424000000
1112650a184436
12583761020a8
1327305b3b257
14130b377c492
159279c6add5
hex520e1b7a00

352424000000 has 140 divisors (see below), whose sum is σ = 880208303502. Its totient is φ = 140966400000.

The previous prime is 352423999981. The next prime is 352424000023. The reversal of 352424000000 is 424253.

It can be written as a sum of positive squares in 7 ways, for example, as 146511341824 + 205912658176 = 382768^2 + 453776^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7977974 + ... + 8022026.

Almost surely, 2352424000000 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 352424000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440104151751).

352424000000 is an abundant number, since it is smaller than the sum of its proper divisors (527784303502).

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

352424000000 is an frugal number, since it uses more digits than its factorization.

352424000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44101 (or 44060 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 352424000000 its reverse (424253), we get a palindrome (352424424253).

The spelling of 352424000000 in words is "three hundred fifty-two billion, four hundred twenty-four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 6250 6400 8000 10000 12500 12800 15625 16000 20000 25000 31250 32000 40000 44053 50000 62500 64000 80000 88106 100000 125000 160000 176212 200000 220265 250000 320000 352424 400000 440530 500000 704848 800000 881060 1000000 1101325 1409696 1600000 1762120 2000000 2202650 2819392 3524240 4000000 4405300 5506625 5638784 7048480 8000000 8810600 11013250 11277568 14096960 17621200 22026500 22555136 27533125 28193920 35242400 44053000 55066250 56387840 70484800 88106000 110132500 112775680 137665625 140969600 176212000 220265000 275331250 281939200 352424000 440530000 550662500 563878400 688328125 704848000 881060000 1101325000 1376656250 1409696000 1762120000 2202650000 2753312500 2819392000 3524240000 4405300000 5506625000 7048480000 8810600000 11013250000 14096960000 17621200000 22026500000 35242400000 44053000000 70484800000 88106000000 176212000000 352424000000