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1356438480 = 243531337541
BaseRepresentation
bin101000011011001…
…1001101111010000
310111112101012210020
41100312121233100
510234222012410
6342333103440
745420352065
oct12066315720
93445335706
101356438480
11636746341
1231a327b80
13188038b27
14cc212c6c
157e13ca70
hex50d99bd0

1356438480 has 160 divisors (see below), whose sum is σ = 4361530368. Its totient is φ = 348364800.

The previous prime is 1356438341. The next prime is 1356438493. The reversal of 1356438480 is 848346531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2507010 + ... + 2507550.

Almost surely, 21356438480 is an apocalyptic number.

1356438480 is a gapful number since it is divisible by the number (10) 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 1356438480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180765184).

1356438480 is an abundant number, since it is smaller than the sum of its proper divisors (3005091888).

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

1356438480 is a wasteful number, since it uses less digits than its factorization.

1356438480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 1356438480 is about 36829.8585389626. The cubic root of 1356438480 is about 1106.9636684503.

The spelling of 1356438480 in words is "one billion, three hundred fifty-six million, four hundred thirty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 337 372 465 496 541 620 674 744 930 1011 1082 1240 1348 1488 1623 1685 1860 2022 2164 2480 2696 2705 3246 3370 3720 4044 4328 5055 5392 5410 6492 6740 7440 8088 8115 8656 10110 10447 10820 12984 13480 16176 16230 16771 20220 20894 21640 25968 26960 31341 32460 33542 40440 41788 43280 50313 52235 62682 64920 67084 80880 83576 83855 100626 104470 125364 129840 134168 156705 167152 167710 182317 201252 208940 250728 251565 268336 313410 335420 364634 402504 417880 501456 503130 546951 626820 670840 729268 805008 835760 911585 1006260 1093902 1253640 1341680 1458536 1823170 2012520 2187804 2507280 2734755 2917072 3646340 4025040 4375608 5469510 5651827 7292680 8751216 10939020 11303654 14585360 16955481 21878040 22607308 28259135 33910962 43756080 45214616 56518270 67821924 84777405 90429232 113036540 135643848 169554810 226073080 271287696 339109620 452146160 678219240 1356438480