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1349950770 = 232575573847
BaseRepresentation
bin101000001110110…
…1001110100110010
310111002011121022200
41100131221310302
510231041411040
6341542044030
745311251350
oct12035516462
93432147280
101349950770
11633014aa3
12318119616
131868a6b4c
14cb4047d0
157d7aa630
hex50769d32

1349950770 has 96 divisors (see below), whose sum is σ = 4019528448. Its totient is φ = 307926144.

The previous prime is 1349950759. The next prime is 1349950813. The reversal of 1349950770 is 770599431.

1349950770 is a `hidden beast` number, since 134 + 9 + 9 + 507 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 348987 + ... + 352833.

It is an arithmetic number, because the mean of its divisors is an integer number (41870088).

Almost surely, 21349950770 is an apocalyptic number.

1349950770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349950770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009764224).

1349950770 is an abundant number, since it is smaller than the sum of its proper divisors (2669577678).

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

1349950770 is a wasteful number, since it uses less digits than its factorization.

1349950770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424 (or 4421 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 1349950770 is about 36741.6762001953. The cubic root of 1349950770 is about 1105.1960149939.

The spelling of 1349950770 in words is "one billion, three hundred forty-nine million, nine hundred fifty thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 557 630 1114 1671 2785 3342 3847 3899 5013 5570 7694 7798 8355 10026 11541 11697 16710 19235 19495 23082 23394 25065 26929 34623 35091 38470 38990 50130 53858 57705 58485 69246 70182 80787 115410 116970 134645 161574 173115 175455 242361 269290 346230 350910 403935 484722 807870 1211805 2142779 2423610 4285558 6428337 10713895 12856674 14999453 19285011 21427790 29998906 32141685 38570022 44998359 64283370 74997265 89996718 96425055 134995077 149994530 192850110 224991795 269990154 449983590 674975385 1349950770