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4023032320 = 2951797953
BaseRepresentation
bin1110111111001010…
…1001101000000000
3101101101001012212001
43233302221220000
531214344013240
61503111313344
7201460132126
oct35762515000
911341035761
104023032320
1117849957aa
1294337b854
134c16270c8
142a242b916
151882c489a
hexefca9a00

4023032320 has 160 divisors (see below), whose sum is σ = 10329370128. Its totient is φ = 1497366528.

The previous prime is 4023032309. The next prime is 4023032323. The reversal of 4023032320 is 232303204.

It can be written as a sum of positive squares in 8 ways, for example, as 2048829696 + 1974202624 = 45264^2 + 44432^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (4023032323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4220964 + ... + 4221916.

Almost surely, 24023032320 is an apocalyptic number.

4023032320 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 4023032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5164685064).

4023032320 is an abundant number, since it is smaller than the sum of its proper divisors (6306337808).

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

4023032320 is an equidigital number, since it uses as much as digits as its factorization.

4023032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 4023032320 is about 63427.3783156769. The cubic root of 4023032320 is about 1590.4420167921.

Adding to 4023032320 its reverse (232303204), we get a palindrome (4255335524).

The spelling of 4023032320 in words is "four billion, twenty-three million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 97 128 136 160 170 194 256 272 320 340 388 485 512 544 640 680 776 953 970 1088 1280 1360 1552 1649 1906 1940 2176 2560 2720 3104 3298 3812 3880 4352 4765 5440 6208 6596 7624 7760 8245 8704 9530 10880 12416 13192 15248 15520 16201 16490 19060 21760 24832 26384 30496 31040 32402 32980 38120 43520 49664 52768 60992 62080 64804 65960 76240 81005 92441 105536 121984 124160 129608 131920 152480 162010 184882 211072 243968 248320 259216 263840 304960 324020 369764 422144 462205 487936 518432 527680 609920 648040 739528 844288 924410 1036864 1055360 1219840 1296080 1479056 1571497 1848820 2073728 2110720 2439680 2592160 2958112 3142994 3697640 4147456 4221440 5184320 5916224 6285988 7395280 7857485 8294912 10368640 11832448 12571976 14790560 15714970 20737280 23664896 25143952 29581120 31429940 41474560 47329792 50287904 59162240 62859880 100575808 118324480 125719760 201151616 236648960 251439520 402303232 502879040 804606464 1005758080 2011516160 4023032320