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1434001020 = 2235471034937
BaseRepresentation
bin101010101111001…
…0001111001111100
310200221022210120220
41111132101321330
510414101013040
6354143341340
750351543664
oct12536217174
93627283526
101434001020
11676502211
123402b1850
1319b12491a
14d86431a4
1585d5e2d0
hex55791e7c

1434001020 has 96 divisors (see below), whose sum is σ = 4141283328. Its totient is φ = 370555392.

The previous prime is 1434000989. The next prime is 1434001039. The reversal of 1434001020 is 201004341.

It is a super-2 number, since 2×14340010202 = 4112717850722080800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 287992 + ... + 292928.

It is an arithmetic number, because the mean of its divisors is an integer number (43138368).

Almost surely, 21434001020 is an apocalyptic number.

1434001020 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 1434001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070641664).

1434001020 is an abundant number, since it is smaller than the sum of its proper divisors (2707282308).

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

1434001020 is a wasteful number, since it uses less digits than its factorization.

1434001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5099 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1434001020 is about 37868.2059252878. The cubic root of 1434001020 is about 1127.6729252652.

Adding to 1434001020 its reverse (201004341), we get a palindrome (1635005361).

The spelling of 1434001020 in words is "one billion, four hundred thirty-four million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 103 141 188 206 235 282 309 412 470 515 564 618 705 940 1030 1236 1410 1545 2060 2820 3090 4841 4937 6180 9682 9874 14523 14811 19364 19748 24205 24685 29046 29622 48410 49370 58092 59244 72615 74055 96820 98740 145230 148110 232039 290460 296220 464078 508511 696117 928156 1017022 1160195 1392234 1525533 2034044 2320390 2542555 2784468 3051066 3480585 4640780 5085110 6102132 6961170 7627665 10170220 13922340 15255330 23900017 30510660 47800034 71700051 95600068 119500085 143400102 239000170 286800204 358500255 478000340 717000510 1434001020