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270234624 = 2103112727
BaseRepresentation
bin10000000110110…
…111010000000000
3200211111100012210
4100012313100000
51023140001444
642452022120
76460646022
oct2006672000
9624440183
10270234624
111295a4300
1276601940
1343ca885a
1427c66012
1518ace7b9
hex101b7400

270234624 has 132 divisors (see below), whose sum is σ = 792794912. Its totient is φ = 81776640.

The previous prime is 270234619. The next prime is 270234667. The reversal of 270234624 is 426432072.

It is a tau number, because it is divible by the number of its divisors (132).

It is a junction number, because it is equal to n+sod(n) for n = 270234591 and 270234600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 371349 + ... + 372075.

Almost surely, 2270234624 is an apocalyptic number.

270234624 is a gapful number since it is divisible by the number (24) 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 270234624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396397456).

270234624 is an abundant number, since it is smaller than the sum of its proper divisors (522560288).

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

270234624 is a wasteful number, since it uses less digits than its factorization.

270234624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 270234624 is about 16438.8145558005. The cubic root of 270234624 is about 646.5175683939.

Adding to 270234624 its reverse (426432072), we get a palindrome (696666696).

The spelling of 270234624 in words is "two hundred seventy million, two hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 512 528 704 726 727 768 968 1024 1056 1408 1452 1454 1536 1936 2112 2181 2816 2904 2908 3072 3872 4224 4362 5632 5808 5816 7744 7997 8448 8724 11264 11616 11632 15488 15994 16896 17448 23232 23264 23991 30976 31988 33792 34896 46464 46528 47982 61952 63976 69792 87967 92928 93056 95964 123904 127952 139584 175934 185856 186112 191928 255904 263901 279168 351868 371712 372224 383856 511808 527802 558336 703736 744448 767712 1023616 1055604 1116672 1407472 1535424 2047232 2111208 2233344 2814944 3070848 4094464 4222416 5629888 6141696 8188928 8444832 11259776 12283392 16889664 22519552 24566784 33779328 45039104 67558656 90078208 135117312 270234624