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1402645344 = 25331643733
BaseRepresentation
bin101001110011010…
…1010101101100000
310121202022202200120
41103212222231200
510333034122334
6351103320240
746521201012
oct12346525540
93552282616
101402645344
1165a836231
123318b0080
13194796879
14d44001b2
1583218949
hex539aab60

1402645344 has 96 divisors (see below), whose sum is σ = 3811820544. Its totient is φ = 451146240.

The previous prime is 1402645339. The next prime is 1402645357. The reversal of 1402645344 is 4435462041.

It is a happy number.

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

It is a super-2 number, since 2×14026453442 = 3934827922089756672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1913202 + ... + 1913934.

It is an arithmetic number, because the mean of its divisors is an integer number (39706464).

Almost surely, 21402645344 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 1402645344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905910272).

1402645344 is an abundant number, since it is smaller than the sum of its proper divisors (2409175200).

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

1402645344 is a wasteful number, since it uses less digits than its factorization.

1402645344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 1402645344 is about 37451.9070809485. The cubic root of 1402645344 is about 1119.3930980641.

The spelling of 1402645344 in words is "one billion, four hundred two million, six hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 643 733 744 992 1286 1466 1488 1929 2199 2572 2932 2976 3858 4398 5144 5864 7716 8796 10288 11728 15432 17592 19933 20576 22723 23456 30864 35184 39866 45446 59799 61728 68169 70368 79732 90892 119598 136338 159464 181784 239196 272676 318928 363568 471319 478392 545352 637856 727136 942638 956784 1090704 1413957 1885276 1913568 2181408 2827914 3770552 5655828 7541104 11311656 14610889 15082208 22623312 29221778 43832667 45246624 58443556 87665334 116887112 175330668 233774224 350661336 467548448 701322672 1402645344