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1355031104 = 2673173631
BaseRepresentation
bin101000011000100…
…0010001001000000
310111102201201020012
41100301002021000
510233341443404
6342243004052
745402401000
oct12061021100
93442651205
101355031104
11635974a19
12319969628
1318796536b
14cbd68000
157de60a6e
hex50c42240

1355031104 has 112 divisors (see below), whose sum is σ = 3321100800. Its totient is φ = 546416640.

The previous prime is 1355031101. The next prime is 1355031107. The reversal of 1355031104 is 4011305531.

It is an interprime number because it is at equal distance from previous prime (1355031101) and next prime (1355031107).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×13550311042 = 3672218585614917632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1355031104.

It is not an unprimeable number, because it can be changed into a prime (1355031101) 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, 371369 + ... + 374999.

Almost surely, 21355031104 is an apocalyptic number.

1355031104 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 1355031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660550400).

1355031104 is an abundant number, since it is smaller than the sum of its proper divisors (1966069696).

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

1355031104 is an equidigital number, since it uses as much as digits as its factorization.

1355031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 1355031104 is about 36810.7471263488. The cubic root of 1355031104 is about 1106.5806916968.

Adding to 1355031104 its reverse (4011305531), we get a palindrome (5366336635).

The spelling of 1355031104 in words is "one billion, three hundred fifty-five million, thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 136 196 224 238 272 343 392 448 476 544 686 784 833 952 1088 1372 1568 1666 1904 2744 3136 3332 3631 3808 5488 5831 6664 7262 7616 10976 11662 13328 14524 21952 23324 25417 26656 29048 46648 50834 53312 58096 61727 93296 101668 116192 123454 177919 186592 203336 232384 246908 355838 373184 406672 432089 493816 711676 813344 864178 987632 1245433 1423352 1626688 1728356 1975264 2490866 2846704 3024623 3456712 3950528 4981732 5693408 6049246 6913424 9963464 11386816 12098492 13826848 19926928 21172361 24196984 27653696 39853856 42344722 48393968 79707712 84689444 96787936 169378888 193575872 338757776 677515552 1355031104