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1430040744 = 233411439457
BaseRepresentation
bin101010100111100…
…1011000010101000
310200122212121010000
41111033023002220
510412042300434
6353522423000
750303100666
oct12517130250
93618777100
101430040744
11674247860
1233ab01a60
1319a369172
14d7cd1c36
158582ab99
hex553cb0a8

1430040744 has 160 divisors (see below), whose sum is σ = 4389105600. Its totient is φ = 431412480.

The previous prime is 1430040743. The next prime is 1430040767. The reversal of 1430040744 is 4470400341.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430040743) 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, 3128964 + ... + 3129420.

It is an arithmetic number, because the mean of its divisors is an integer number (27431910).

Almost surely, 21430040744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1430040744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194552800).

1430040744 is an abundant number, since it is smaller than the sum of its proper divisors (2959064856).

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

1430040744 is a wasteful number, since it uses less digits than its factorization.

1430040744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 1430040744 is about 37815.8795217036. The cubic root of 1430040744 is about 1126.6338712643.

The spelling of 1430040744 in words is "one billion, four hundred thirty million, forty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 439 457 594 648 792 878 891 914 1188 1317 1371 1756 1782 1828 2376 2634 2742 3512 3564 3656 3951 4113 4829 5027 5268 5484 7128 7902 8226 9658 10054 10536 10968 11853 12339 14487 15081 15804 16452 19316 20108 23706 24678 28974 30162 31608 32904 35559 37017 38632 40216 43461 45243 47412 49356 57948 60324 71118 74034 86922 90486 94824 98712 115896 120648 130383 135729 142236 148068 173844 180972 200623 260766 271458 284472 296136 347688 361944 391149 401246 407187 521532 542916 601869 782298 802492 814374 1043064 1085832 1203738 1564596 1604984 1628748 1805607 2206853 2407476 3129192 3257496 3611214 4413706 4814952 5416821 6620559 7222428 8827412 10833642 13241118 14444856 16250463 17654824 19861677 21667284 26482236 32500926 39723354 43334568 52964472 59585031 65001852 79446708 119170062 130003704 158893416 178755093 238340124 357510186 476680248 715020372 1430040744