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1434292431 = 31113171931019
BaseRepresentation
bin101010101111101…
…1001000011001111
310200221212121022220
41111133121003033
510414134324211
6354153510423
750354166405
oct12537310317
93627777286
101434292431
11676691150
12340412413
1319b1c7460
14d86bb475
1585dba806
hex557d90cf

1434292431 has 64 divisors (see below), whose sum is σ = 2393556480. Its totient is φ = 750551040.

The previous prime is 1434292423. The next prime is 1434292439. The reversal of 1434292431 is 1342924341.

It is an interprime number because it is at equal distance from previous prime (1434292423) and next prime (1434292439).

It is not a de Polignac number, because 1434292431 - 23 = 1434292423 is a prime.

It is a super-2 number, since 2×14342924312 = 4114389555247779522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1434292392 and 1434292401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434292439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1407040 + ... + 1408058.

It is an arithmetic number, because the mean of its divisors is an integer number (37399320).

Almost surely, 21434292431 is an apocalyptic number.

1434292431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1434292431 is a deficient number, since it is larger than the sum of its proper divisors (959264049).

1434292431 is a wasteful number, since it uses less digits than its factorization.

1434292431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256.

The product of its digits is 20736, while the sum is 33.

The square root of 1434292431 is about 37872.0534299370. The cubic root of 1434292431 is about 1127.7493069025.

The spelling of 1434292431 in words is "one billion, four hundred thirty-four million, two hundred ninety-two thousand, four hundred thirty-one".

Divisors: 1 3 11 13 17 33 39 51 143 187 193 221 429 561 579 663 1019 2123 2431 2509 3057 3281 6369 7293 7527 9843 11209 13247 17323 27599 33627 36091 39741 42653 51969 82797 108273 127959 145717 190553 196667 225199 437151 469183 571659 590001 675597 1407549 2163337 2477189 2556671 3343339 6490011 7431567 7670013 10030017 28123381 36776729 43463407 84370143 110330187 130390221 478097477 1434292431