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1012343670 = 234513127757
BaseRepresentation
bin111100010101110…
…010001101110110
32121112220101110000
4330111302031312
54033124444140
6244242012130
734041531162
oct7425621566
92545811400
101012343670
1147a494868
12243047046
1313196c730
1498641ca2
155dd1da30
hex3c572376

1012343670 has 160 divisors (see below), whose sum is σ = 2958455808. Its totient is φ = 246903552.

The previous prime is 1012343663. The next prime is 1012343681. The reversal of 1012343670 is 763432101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1336932 + ... + 1337688.

Almost surely, 21012343670 is an apocalyptic number.

1012343670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012343670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479227904).

1012343670 is an abundant number, since it is smaller than the sum of its proper divisors (1946112138).

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

1012343670 is a wasteful number, since it uses less digits than its factorization.

1012343670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1012343670 is about 31817.3485696090. The cubic root of 1012343670 is about 1004.0977422395.

Adding to 1012343670 its reverse (763432101), we get a palindrome (1775775771).

The spelling of 1012343670 in words is "one billion, twelve million, three hundred forty-three thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 127 130 135 162 195 234 254 270 351 381 390 405 585 635 702 757 762 810 1053 1143 1170 1270 1514 1651 1755 1905 2106 2271 2286 3302 3429 3510 3785 3810 4542 4953 5265 5715 6813 6858 7570 8255 9841 9906 10287 10530 11355 11430 13626 14859 16510 17145 19682 20439 20574 22710 24765 29523 29718 34065 34290 40878 44577 49205 49530 51435 59046 61317 68130 74295 88569 89154 96139 98410 102195 102870 122634 133731 147615 148590 177138 192278 204390 222885 265707 267462 288417 295230 306585 442845 445770 480695 531414 576834 613170 668655 797121 865251 885690 961390 1249807 1328535 1337310 1442085 1594242 1730502 2499614 2595753 2657070 2884170 3749421 3985605 4326255 5191506 6249035 7498842 7787259 7971210 8652510 11248263 12498070 12978765 15574518 18747105 22496526 25957530 33744789 37494210 38936295 56241315 67489578 77872590 101234367 112482630 168723945 202468734 337447890 506171835 1012343670