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1348891530 = 235731383541
BaseRepresentation
bin101000001100110…
…0111001110001010
310111000011210022120
41100121213032022
510230304012110
6341503232110
745266250240
oct12031471612
93430153276
101348891530
11632461198
123178a8636
131865c598c
14cb20a790
157d64b870
hex5066738a

1348891530 has 128 divisors (see below), whose sum is σ = 3836215296. Its totient is φ = 297043200.

The previous prime is 1348891507. The next prime is 1348891549. The reversal of 1348891530 is 351988431.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2493060 + ... + 2493600.

It is an arithmetic number, because the mean of its divisors is an integer number (29970432).

Almost surely, 21348891530 is an apocalyptic number.

1348891530 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 1348891530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918107648).

1348891530 is an abundant number, since it is smaller than the sum of its proper divisors (2487323766).

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

1348891530 is a wasteful number, since it uses less digits than its factorization.

1348891530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972.

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1348891530 is about 36727.2586779901. The cubic root of 1348891530 is about 1104.9068750305.

The spelling of 1348891530 in words is "one billion, three hundred forty-eight million, eight hundred ninety-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 383 434 465 541 651 766 930 1082 1085 1149 1302 1623 1915 2170 2298 2681 2705 3246 3255 3787 3830 5362 5410 5745 6510 7574 8043 8115 11361 11490 11873 13405 16086 16230 16771 18935 22722 23746 26810 33542 35619 37870 40215 50313 56805 59365 71238 80430 83111 83855 100626 113610 117397 118730 166222 167710 178095 207203 234794 249333 251565 352191 356190 414406 415555 498666 503130 586985 621609 704382 831110 1036015 1173970 1243218 1246665 1450421 1760955 2072030 2493330 2900842 3108045 3521910 4351263 6216090 6423293 7252105 8702526 12846586 14504210 19269879 21756315 32116465 38539758 43512630 44963051 64232930 89926102 96349395 134889153 192698790 224815255 269778306 449630510 674445765 1348891530