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1348003944 = 233471915641
BaseRepresentation
bin101000001011000…
…1110100001101000
310110221111200210000
41100112032201220
510230042111234
6341432223000
745255562440
oct12026164150
93427450700
101348003944
11631a05351
1231753aa60
13186374991
14cb059120
157d523899
hex5058e868

1348003944 has 160 divisors (see below), whose sum is σ = 4542436800. Its totient is φ = 364849920.

The previous prime is 1348003919. The next prime is 1348003949. The reversal of 1348003944 is 4493008431.

It is a super-2 number, since 2×13480039442 = 3634229266079110272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1348003899 and 1348003908.

It is not an unprimeable number, because it can be changed into a prime (1348003949) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78364 + ... + 94004.

It is an arithmetic number, because the mean of its divisors is an integer number (28390230).

Almost surely, 21348003944 is an apocalyptic number.

1348003944 is a gapful number since it is divisible by the number (14) 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 1348003944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271218400).

1348003944 is an abundant number, since it is smaller than the sum of its proper divisors (3194432856).

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

1348003944 is a wasteful number, since it uses less digits than its factorization.

1348003944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15685 (or 15672 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1348003944 is about 36715.1732121748. The cubic root of 1348003944 is about 1104.6644747499.

The spelling of 1348003944 in words is "one billion, three hundred forty-eight million, three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 81 84 108 114 126 133 152 162 168 171 189 216 228 252 266 324 342 378 399 456 504 513 532 567 648 684 756 798 1026 1064 1134 1197 1368 1512 1539 1596 2052 2268 2394 3078 3192 3591 4104 4536 4788 6156 7182 9576 10773 12312 14364 15641 21546 28728 31282 43092 46923 62564 86184 93846 109487 125128 140769 187692 218974 281538 297179 328461 375384 422307 437948 563076 594358 656922 844614 875896 891537 985383 1126152 1188716 1266921 1313844 1689228 1783074 1970766 2080253 2377432 2533842 2627688 2674611 2956149 3378456 3566148 3941532 4160506 5067684 5349222 5912298 6240759 7132296 7883064 8023833 8321012 8868447 10135368 10698444 11824596 12481518 16047666 16642024 17736894 18722277 21396888 23649192 24071499 24963036 32095332 35473788 37444554 48142998 49926072 56166831 64190664 70947576 74889108 96285996 112333662 149778216 168500493 192571992 224667324 337000986 449334648 674001972 1348003944