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1334392320 = 2935293593
BaseRepresentation
bin100111110001001…
…0011011000000000
310102222220011010210
41033202103120000
510213101023240
6340224354120
745032101422
oct11742233000
93388804123
101334392320
11625258778
12312a75940
131835ba271
14c9314812
157c235780
hex4f893600

1334392320 has 160 divisors (see below), whose sum is σ = 4287663072. Its totient is φ = 354025472.

The previous prime is 1334392313. The next prime is 1334392333. The reversal of 1334392320 is 232934331.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2249944 + ... + 2250536.

Almost surely, 21334392320 is an apocalyptic number.

1334392320 is a gapful number since it is divisible by the number (10) 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 1334392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143831536).

1334392320 is an abundant number, since it is smaller than the sum of its proper divisors (2953270752).

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

1334392320 is an equidigital number, since it uses as much as digits as its factorization.

1334392320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 1334392320 is about 36529.3350610164. The cubic root of 1334392320 is about 1100.9337305982.

The spelling of 1334392320 in words is "one billion, three hundred thirty-four million, three hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 293 320 384 480 512 586 593 640 768 879 960 1172 1186 1280 1465 1536 1758 1779 1920 2344 2372 2560 2930 2965 3516 3558 3840 4395 4688 4744 5860 5930 7032 7116 7680 8790 8895 9376 9488 11720 11860 14064 14232 17580 17790 18752 18976 23440 23720 28128 28464 35160 35580 37504 37952 46880 47440 56256 56928 70320 71160 75008 75904 93760 94880 112512 113856 140640 142320 150016 151808 173749 187520 189760 225024 227712 281280 284640 303616 347498 375040 379520 450048 455424 521247 562560 569280 694996 750080 759040 868745 910848 1042494 1125120 1138560 1389992 1518080 1737490 2084988 2250240 2277120 2606235 2779984 3474980 4169976 4554240 5212470 5559968 6949960 8339952 10424940 11119936 13899920 16679904 20849880 22239872 27799840 33359808 41699760 44479744 55599680 66719616 83399520 88959488 111199360 133439232 166799040 222398720 266878464 333598080 444797440 667196160 1334392320