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1348067328 = 2133192887
BaseRepresentation
bin101000001011001…
…1110000000000000
310110221121220201120
41100112132000000
510230101123303
6341433432240
745256245306
oct12026360000
93427556646
101348067328
11631a48a33
1231756b680
1318639779a
14cb074276
157d537553
hex5059e000

1348067328 has 112 divisors (see below), whose sum is σ = 3785128320. Its totient is φ = 425558016.

The previous prime is 1348067327. The next prime is 1348067363. The reversal of 1348067328 is 8237608431.

It is a self number, because there is not a number n which added to its sum of digits gives 1348067328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348067321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 465501 + ... + 468387.

Almost surely, 21348067328 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 1348067328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892564160).

1348067328 is an abundant number, since it is smaller than the sum of its proper divisors (2437060992).

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

1348067328 is an equidigital number, since it uses as much as digits as its factorization.

1348067328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 1348067328 is about 36716.0363873880. The cubic root of 1348067328 is about 1104.6817884865.

It can be divided in two parts, 13480 and 67328, that added together give a palindrome (80808).

The spelling of 1348067328 in words is "one billion, three hundred forty-eight million, sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2048 2432 2887 3072 3648 4096 4864 5774 6144 7296 8192 8661 9728 11548 12288 14592 17322 19456 23096 24576 29184 34644 38912 46192 54853 58368 69288 77824 92384 109706 116736 138576 155648 164559 184768 219412 233472 277152 329118 369536 438824 466944 554304 658236 739072 877648 1108608 1316472 1478144 1755296 2217216 2632944 2956288 3510592 4434432 5265888 5912576 7021184 8868864 10531776 11825152 14042368 17737728 21063552 23650304 28084736 35475456 42127104 56169472 70950912 84254208 112338944 168508416 224677888 337016832 449355776 674033664 1348067328