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534708480 = 2835178191
BaseRepresentation
bin11111110111110…
…000000100000000
31101021011000010210
4133313300010000
52043341132410
6125020354120
716151642565
oct3767600400
91337130123
10534708480
11254913439
1212b0a5940
1386a18267
145102c86c
1531e22220
hex1fdf0100

534708480 has 144 divisors (see below), whose sum is σ = 1808400384. Its totient is φ = 134184960.

The previous prime is 534708479. The next prime is 534708487. The reversal of 534708480 is 84807435.

It is not an unprimeable number, because it can be changed into a prime (534708487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61185 + ... + 69375.

It is an arithmetic number, because the mean of its divisors is an integer number (12558336).

Almost surely, 2534708480 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 534708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904200192).

534708480 is an abundant number, since it is smaller than the sum of its proper divisors (1273691904).

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

534708480 is a wasteful number, since it uses less digits than its factorization.

534708480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8232 (or 8218 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 534708480 is about 23123.7643994225. The cubic root of 534708480 is about 811.6566612072.

The spelling of 534708480 in words is "five hundred thirty-four million, seven hundred eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 544 640 680 768 816 960 1020 1088 1280 1360 1632 1920 2040 2176 2720 3264 3840 4080 4352 5440 6528 8160 8191 10880 13056 16320 16382 21760 24573 32640 32764 40955 49146 65280 65528 81910 98292 122865 131056 139247 163820 196584 245730 262112 278494 327640 393168 417741 491460 524224 556988 655280 696235 786336 835482 982920 1048448 1113976 1310560 1392470 1572672 1670964 1965840 2088705 2096896 2227952 2621120 2784940 3145344 3341928 3931680 4177410 4455904 5242240 5569880 6290688 6683856 7863360 8354820 8911808 10484480 11139760 13367712 15726720 16709640 17823616 22279520 26735424 31453440 33419280 35647232 44559040 53470848 66838560 89118080 106941696 133677120 178236160 267354240 534708480