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348745950 = 232527195827
BaseRepresentation
bin10100110010010…
…111000011011110
3220022020010111200
4110302113003132
51203234332300
654334500330
711433202020
oct2462270336
9808203450
10348745950
11169948aa3
12989646a6
1357337467
1434462010
152093c200
hex14c970de

348745950 has 144 divisors (see below), whose sum is σ = 1127368320. Its totient is φ = 75504960.

The previous prime is 348745927. The next prime is 348745951. The reversal of 348745950 is 59547843.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 348745896 and 348745905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348745951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56937 + ... + 62763.

Almost surely, 2348745950 is an apocalyptic number.

348745950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 348745950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563684160).

348745950 is an abundant number, since it is smaller than the sum of its proper divisors (778622370).

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

348745950 is a wasteful number, since it uses less digits than its factorization.

348745950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5871 (or 5863 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 348745950 is about 18674.7409620589. The cubic root of 348745950 is about 703.8871835728.

The spelling of 348745950 in words is "three hundred forty-eight million, seven hundred forty-five thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 25 30 35 38 42 45 50 57 63 70 75 90 95 105 114 126 133 150 171 175 190 210 225 266 285 315 342 350 399 450 475 525 570 630 665 798 855 950 1050 1197 1330 1425 1575 1710 1995 2394 2850 3150 3325 3990 4275 5827 5985 6650 8550 9975 11654 11970 17481 19950 29135 29925 34962 40789 52443 58270 59850 81578 87405 104886 110713 122367 145675 174810 203945 221426 244734 262215 291350 332139 367101 407890 437025 524430 553565 611835 664278 734202 774991 874050 996417 1019725 1107130 1223670 1311075 1549982 1660695 1835505 1992834 2039450 2324973 2622150 2767825 3059175 3321390 3671010 3874955 4649946 4982085 5535650 6118350 6974919 7749910 8303475 9177525 9964170 11624865 13949838 16606950 18355050 19374775 23249730 24910425 34874595 38749550 49820850 58124325 69749190 116248650 174372975 348745950