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354977070 = 235721132137
BaseRepresentation
bin10101001010001…
…000010100101110
3220201221200222220
4111022020110232
51211333231240
655120220210
711540153400
oct2512102456
9821850886
10354977070
11172414588
129aa6a666
1358709706
1435204b70
152126d5d0
hex1528852e

354977070 has 96 divisors (see below), whose sum is σ = 1000276128. Its totient is φ = 80381952.

The previous prime is 354977069. The next prime is 354977071. The reversal of 354977070 is 70779453.

It is an interprime number because it is at equal distance from previous prime (354977069) and next prime (354977071).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354977071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165042 + ... + 167178.

It is an arithmetic number, because the mean of its divisors is an integer number (10419543).

Almost surely, 2354977070 is an apocalyptic number.

354977070 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 354977070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500138064).

354977070 is an abundant number, since it is smaller than the sum of its proper divisors (645299058).

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

354977070 is a wasteful number, since it uses less digits than its factorization.

354977070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 42.

The square root of 354977070 is about 18840.8351725713. The cubic root of 354977070 is about 708.0546296702.

The spelling of 354977070 in words is "three hundred fifty-four million, nine hundred seventy-seven thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 113 147 210 226 245 294 339 490 565 678 735 791 1130 1470 1582 1695 2137 2373 3390 3955 4274 4746 5537 6411 7910 10685 11074 11865 12822 14959 16611 21370 23730 27685 29918 32055 33222 44877 55370 64110 74795 83055 89754 104713 149590 166110 209426 224385 241481 314139 448770 482962 523565 628278 724443 1047130 1207405 1448886 1570695 1690367 2414810 3141390 3380734 3622215 5071101 7244430 8451835 10142202 11832569 16903670 23665138 25355505 35497707 50711010 59162845 70995414 118325690 177488535 354977070