Search a number
-
+
69434240 = 275235389
BaseRepresentation
bin1000010001101…
…11101110000000
311211122121212112
410020313232000
5120233343430
610520114452
71502116121
oct410675600
9154577775
1069434240
1136214a77
121b305a28
1311501165
149316048
156168195
hex4237b80

69434240 has 128 divisors (see below), whose sum is σ = 178459200. Its totient is φ = 25772032.

The previous prime is 69434221. The next prime is 69434291. The reversal of 69434240 is 4243496.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×694342402 = 9642227368755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 69434197 and 69434206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780116 + ... + 780204.

Almost surely, 269434240 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 69434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89229600).

69434240 is an abundant number, since it is smaller than the sum of its proper divisors (109024960).

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

69434240 is a wasteful number, since it uses less digits than its factorization.

69434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 69434240 is about 8332.7210441728. The cubic root of 69434240 is about 411.0152116762.

The spelling of 69434240 in words is "sixty-nine million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 53 64 80 89 92 106 115 128 160 178 184 212 230 265 320 356 368 424 445 460 530 640 712 736 848 890 920 1060 1219 1424 1472 1696 1780 1840 2047 2120 2438 2848 2944 3392 3560 3680 4094 4240 4717 4876 5696 6095 6784 7120 7360 8188 8480 9434 9752 10235 11392 12190 14240 14720 16376 16960 18868 19504 20470 23585 24380 28480 32752 33920 37736 39008 40940 47170 48760 56960 65504 75472 78016 81880 94340 97520 108491 131008 150944 156032 163760 188680 195040 216982 262016 301888 327520 377360 390080 433964 542455 603776 655040 754720 780160 867928 1084910 1310080 1509440 1735856 2169820 3018880 3471712 4339640 6943424 8679280 13886848 17358560 34717120 69434240