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1434261408 = 253531012791
BaseRepresentation
bin101010101111101…
…0001011110100000
310200221211000202220
41111133101132200
510414132331113
6354153111040
750354010066
oct12537213640
93627730686
101434261408
1167666a908
123403b8480
1319b1b62b8
14d86b0036
1585db1523
hex557d17a0

1434261408 has 96 divisors (see below), whose sum is σ = 3875340672. Its totient is φ = 464256000.

The previous prime is 1434261401. The next prime is 1434261473. The reversal of 1434261408 is 8041624341.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1434261401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512493 + ... + 515283.

It is an arithmetic number, because the mean of its divisors is an integer number (40368132).

Almost surely, 21434261408 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 1434261408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937670336).

1434261408 is an abundant number, since it is smaller than the sum of its proper divisors (2441079264).

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

1434261408 is a wasteful number, since it uses less digits than its factorization.

1434261408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 1434261408 is about 37871.6438513038. The cubic root of 1434261408 is about 1127.7411759667.

Adding to 1434261408 its reverse (8041624341), we get a palindrome (9475885749).

The spelling of 1434261408 in words is "one billion, four hundred thirty-four million, two hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 101 106 159 202 212 303 318 404 424 606 636 808 848 1212 1272 1616 1696 2424 2544 2791 3232 4848 5088 5353 5582 8373 9696 10706 11164 16059 16746 21412 22328 32118 33492 42824 44656 64236 66984 85648 89312 128472 133968 147923 171296 256944 267936 281891 295846 443769 513888 563782 591692 845673 887538 1127564 1183384 1691346 1775076 2255128 2366768 3382692 3550152 4510256 4733536 6765384 7100304 9020512 13530768 14200608 14940223 27061536 29880446 44820669 59760892 89641338 119521784 179282676 239043568 358565352 478087136 717130704 1434261408