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1730045952 = 2113410429
BaseRepresentation
bin110011100011110…
…0110100000000000
311110120101102220000
41213013212200000
512020342432302
6443400520000
760605101515
oct14707464000
94416342800
101730045952
11808625148
12403480000
1321756943b
14125aa730c
15a1d3b31c
hex671e6800

1730045952 has 120 divisors (see below), whose sum is σ = 5168012850. Its totient is φ = 576626688.

The previous prime is 1730045951. The next prime is 1730045971. The reversal of 1730045952 is 2595400371.

It can be written as a sum of positive squares in only one way, i.e., 949625856 + 780420096 = 30816^2 + 27936^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1730045951) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 160674 + ... + 171102.

Almost surely, 21730045952 is an apocalyptic number.

1730045952 is a gapful number since it is divisible by the number (12) 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 1730045952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584006425).

1730045952 is an abundant number, since it is smaller than the sum of its proper divisors (3437966898).

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

1730045952 is an equidigital number, since it uses as much as digits as its factorization.

1730045952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10463 (or 10434 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 1730045952 is about 41593.8210795786. The cubic root of 1730045952 is about 1200.4734132087.

The spelling of 1730045952 in words is "one billion, seven hundred thirty million, forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4608 5184 6144 6912 9216 10368 10429 13824 18432 20736 20858 27648 31287 41472 41716 55296 62574 82944 83432 93861 125148 165888 166864 187722 250296 281583 333728 375444 500592 563166 667456 750888 844749 1001184 1126332 1334912 1501776 1689498 2002368 2252664 2669824 3003552 3378996 4004736 4505328 5339648 6007104 6757992 8009472 9010656 10679296 12014208 13515984 16018944 18021312 21358592 24028416 27031968 32037888 36042624 48056832 54063936 64075776 72085248 96113664 108127872 144170496 192227328 216255744 288340992 432511488 576681984 865022976 1730045952